- Math Article
- Trigonometry For Class 10
![trigonometry assignment year 10 Top Banner](https://cdn1.byjus.com/wp-content/uploads/2023/06/btc-chat-on-whatsapp-top-mobile.webp)
![](http://pechenka.online/777/templates/cheerup1/res/banner1.gif)
Introduction To Trigonometry Class 10 Notes
Cbse class 10 maths trigonometry notes:- download pdf here, class 10 maths chapter 8 introduction to trigonometry notes.
The notes for trigonometry Class 10 Maths are provided here. In maths, trigonometry is one of the branches where we learn the relationships between angles and sides of a triangle. Trigonometry is derived from the Greek words ‘tri’ (means three), ‘gon’ (means sides) and ‘metron’ (means measure). In this chapter, we will learn the basics of trigonometry. Get the complete concept of trigonometry which is covered in Class 10 Maths. Also, get the various trigonometric ratios for specific angles, the relationship between trigonometric functions, trigonometry tables, and various identities given here.
![trigonometry assignment year 10 trigonometry assignment year 10](https://cdn1.byjus.com/wp-content/uploads/2022/06/Trigonometry-class-10-notes.jpg)
Students can refer to the short notes and MCQ questions along with separate solution pdf of this chapter for quick revision from the links below:
- Introduction to Trigonometry Short Notes
- Introduction to Trigonometry MCQ Practice Questions
- Introduction to Trigonometry MCQ Practice Solutions
Trigonometric Ratios
Opposite & adjacent sides in a right-angled triangle.
In the Δ A B C right-angled at B, BC is the side opposite to ∠ A , AC is the hypotenuse, and AB is the side adjacent to ∠ A .
![trigonometry assignment year 10 Right Angle Triangle](https://cdn1.byjus.com/wp-content/uploads/2020/10/Introduction-To-Trigonometry-Class-10-Notes1.png)
For the right Δ A B C , right-angled at ∠ B , the trigonometric ratios of the ∠ A are as follows:
- sin A=opposite side/hypotenuse=BC/AC
- cos A=adjacent side/hypotenuse=AB/AC
- tan A=opposite side/adjacent side=BC/AB
- cosec A=hypotenuse/opposite side=AC/BC
- sec A=hypotenuse/adjacent side=AC/AB
- cot A=adjacent side/opposite side=AB/BC
Relation between Trigonometric Ratios
- cosec θ =1/sin θ
- sec θ = 1/cos θ
- tan θ = sin θ/cos θ
- cot θ = cos θ/sin θ=1/tan θ
Example: Suppose a right-angled triangle ABC, right-angled at B such that hypotenuse AC = 5cm, base BC = 3cm and perpendicular AB = 4cm. Also, ∠ACB = θ. Find the trigonometric ratios tan θ, sin θ and cos θ.
Solution: Given, in ∆ABC,
Hypotenuse, AC = 5cm
Base, BC = 3cm
Perpendicular, AB = 4cm
Then, by the trigonometric ratios, we have;
tan θ = Perpendicular/Base = 4/3
Sin θ = Perpendicular/Hypotenuse = AB/AC = ⅘
Cos θ = Base/Hypotenuse = BC/AC = ⅗
To know more about Trigonometric Ratios, visit here .
Visualization of Trigonometric Ratios Using a Unit Circle
Draw a circle of the unit radius with the origin as the centre. Consider a line segment OP joining a point P on the circle to the centre, which makes an angle θ with the x-axis. Draw a perpendicular from P to the x-axis to cut it at Q.
- sin θ=PQ/OP=PQ/1=PQ
- cos θ=OQ/OP=OQ/1=OQ
- tan θ=PQ/OQ=sin θ/cos θ
- cosec θ=OP/PQ=1/PQ
- sec θ=OP/OQ=1/OQ
- cot θ=OQ/PQ=cos θ/sin θ
![trigonometry assignment year 10 Unit circle](https://cdn1.byjus.com/wp-content/uploads/2020/10/Introduction-To-Trigonometry-Class-10-Notes2.png)
Trigonometric Ratios of Specific Angles
The specific angles that are defined for trigonometric ratios are 0°, 30°, 45°, 60° and 90°.
Trigonometric Ratios of 45°
If one of the angles of a right-angled triangle is 45°, then another angle will also be equal to 45°.
![trigonometry assignment year 10 Trigonometric Ratios of 45°](https://cdn1.byjus.com/wp-content/uploads/2022/06/Introduction-To-Trigonometry-Class-10-Notes-1.png)
Let us say ABC is a right-angled triangle at B, such that;
∠ A = ∠ C = 45°
Thus, BC = AB = a (say)
Using Pythagoras theorem, we have;
AC 2 = AB 2 + BC 2
= a 2 + a 2
Now, from the trigonometric ratios, we have;
- sin 45° = (Opp. side to angle 45°)/Hypotenuse = BC/AC = a/a√2 = 1/√2
- cos 45° = (Adj. side to angle 45°)/Hypotenuse = AB/AC = a/a√2 = 1/√2
- tan 45° = BC/AB = a/a = 1
- cosec 45° = 1/sin 45° = √2
- sec 45° = 1/cos 45° = √2
- cot 45° = 1/tan 45° = 1
Trigonometric Ratios of 30° and 60°
Here, we will consider an equilateral triangle ABC, such that;
AB = BC = AC = 2a
∠A = ∠B = ∠C = 60°
Now, draw a perpendicular AD from vertex A that meets BC at D
![trigonometry assignment year 10 Trigonometric Ratios of 30° and 60°](https://cdn1.byjus.com/wp-content/uploads/2022/06/Introduction-To-Trigonometry-Class-10-Notes-2.png)
According to the congruency of the triangle, we can say;
Δ ABD ≅ Δ ACD
∠ BAD = ∠ CAD (By CPCT)
Now, in triangle ABD, ∠ BAD = 30° and ∠ ABD = 60°
Using Pythagoras theorem,
AD 2 = AB 2 – BD 2
= (2a) 2 – (a) 2
So, the trigonometric ratios for a 30-degree angle will be;
sin 30° = BD/AB = a/2a = 1/2
cos 30° = AD/AB = a√3/2a = √3/2
tan 30° = BD/AD = a/a√3 = 1/√3
cosec 30° = 1/sin 30 = 2
sec 30° = 1/cos 30 = 2/√3
cot 30° = 1/tan 30 = √3
Similarly, we can derive the values of trigonometric ratios for 60°.
- sin 60° = √3/2
- cos 60° = 1/2
- tan 60° = √3
- cosec 60° = 2/√3
- sec 60° = 2
- cot 60° = 1/√3
Trigonometric Ratios of 0° and 90°
If ABC is a right-angled triangle at B, if ∠A is reduced, then side AC will come near to side AB. So, if ∠ A is nearing 0 degree, then AC becomes almost equal to AB, and BC get almost equal to 0.
Hence, Sin A = BC /AC = 0
and cos A = AB/AC = 1
tan A = sin A/cos A = 0/1 = 0
cosec A = 1/sin A = 1/0 = not defined
sec A = 1/cos A = 1/1 = 1
cot A = 1/tan A = 1/0 = not defined
In the same way, we can find the values of trigonometric ratios for a 90-degree angle. Here, angle C is reduced to 0, and the side AB will be nearing side BC such that angle A is almost 90 degrees and AB is almost 0.
Range of Trigonometric Ratios from 0 to 90 Degrees
For 0∘≤θ≤90∘,
- 0 ≤ sin θ ≤ 1
- 0 ≤ cos θ ≤ 1
- 0 ≤ tan θ < ∞ 1 ≤ sec θ < ∞
- 0 ≤ cot θ < ∞
- 1 ≤ cosec θ < ∞
tan θ and sec θ are not defined at 90∘.
cot θ and cosec θ are not defined at 0∘.
Variation of Trigonometric Ratios from 0 to 90 Degrees
![trigonometry assignment year 10 Variation of trigonometric ratios from 0 to 90 degrees](https://cdn1.byjus.com/wp-content/uploads/2019/03/trigonometric-identities-class-10.png)
As θ increases from 0 ∘ to 90 ∘
- s i n θ increases from 0 to 1
- c o s θ decreases from 1 to 0
- t a n θ increases from 0 to ∞
- c o s e c θ decreases from ∞ to 1
- s e c θ increases from 1 to ∞
- c o t θ decreases from ∞ to 0
Standard Values of Trigonometric Ratios
To know more about Trigonometric Ratios of Standard Angles, visit here .
Trigonometric Ratios of Complementary Angles
Complementary trigonometric ratios.
If θ is an acute angle, its complementary angle is 90 ∘ − θ . The following relations hold true for trigonometric ratios of complementary angles.
- s i n ( 90° − θ ) = c o s θ
- c o s ( 90° − θ ) = s i n θ
- t a n ( 90° − θ ) = c o t θ
- c o t ( 90° − θ ) = t a n θ
- c o s e c ( 90° − θ ) = s e c θ
- s e c ( 90° − θ ) = c o s e c θ
Example: Find the value of sin65°/cos25°.
Solution: Since,
cos A = sin (90° – A)
cos 25° = sin (90° – 25°)
Hence, sin65°/sin65° = 1
To know more about Trigonometric Ratios of Complementary Angles, visit here .
Trigonometric Identities
The three most important trigonometric identities are:
- s i n 2 θ + c o s 2 θ = 1
- 1 + c o t 2 θ = c o e s c 2 θ
- 1 + t a n 2 θ = s e c 2 θ
Example: Prove that sec A (1 – sin A)(sec A + tan A) = 1.
Solution: We will start solving for LHS, to get RHS.
sec A (1 – sin A)(sec A + tan A) = (1/cos A)(1 – sin A)(1/cos A + sin A/cos A)
= [(1 – sin A)(1 + sin A)]/cos 2 A
= [1 – sin 2 A]/cos 2 A
= (cos 2 A)/(cos 2 A)
Hence proved.
To know more about Trigonometric Identities, visit here .
Related Articles
- NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry
- Class 10 Maths Chapter 8 Introduction to Trigonometry MCQs
- Important Questions for Class 10 Maths Chapter 8- Introduction to Trigonometry
Trigonometry for Class 10 Solved Problems
Find Sin A and Sec A, if 15 cot A = 8.
Given that 15 cot A = 8
Therefore, cot A = 8/15.
We know that tan A = 1/ cot A
Hence, tan A = 1/(8/15) = 15/8.
Thus, Side opposite to ∠A/Side Adjacent to ∠A = 15/8
Let BC be the side opposite to ∠A and AB be the side adjacent to ∠A and AC be the hypotenuse of the right triangle ABC, respectively.
Hence, BC = 15x and AB = 8x.
![trigonometry assignment year 10 Trigonometry for Class 10 - Example 1](https://cdn1.byjus.com/wp-content/uploads/2021/10/Maths-image.png)
Hence, to find the hypotenuse side, we have to use the Pythagoras theorem.
(i.e) AC 2 = AB 2 + BC 2
AC 2 = (8x) 2 +(15x) 2
AC 2 = 64x 2 +225x 2
AC 2 = 289x 2
Therefore, the hypotenuse AC = 17x.
Finding Sin A:
We know Sin A = Side Opposite to ∠A / Hypotenuse
Sin A = 15x/17x
Sin A = 15/17.
Finding Sec A:
To find Sec A, find cos A first.
Thus, cos A = Side adjacent to ∠A / Hypotenuse
Cos A = 8x/17x
We know that sec A = 1/cos A.
So, Sec A = 1/(8x/17x)
Sec A = 17x/8x
Sec A = 17/8.
Therefore, Sin A = 15/17 and sec A = 17/8.
If tan (A+ B) =√3, tan (A-B) = 1/√3, then find A and B. [Given that 0° <A+B ≤ 90°; A>B ]
Given that
Tan (A+B) = √3.
We know that tan 60 = √3.
Thus, tan (A+B) = tan 60° = √3.
Hence A+B= 60° …(1)
Similarly, given that,
Tan (A-B) = 1/√3.
We know that tan 30° = 1/√3.
Thus, tan (A-B) = tan 30° = 1/√3.
Hence, A-B = 30° …(2)
Now, adding the equations (1) and (2), we get
A+B+A-B = 60° + 30°
Now, substitute A = 45° in equation (1), we get
45° +B = 60°
B = 60°- 45°
Hence, A = 45 and B = 15°.
Video Lesson on Trigonometry
![trigonometry assignment year 10 trigonometry assignment year 10](https://cdn1.byjus.com/wp-content/uploads/2022/04/Trigonometry-Measuring-heights-and-distances.jpg)
Stay tuned with BYJU’S – The Learning App and download the app to learn all Maths-related concepts easily by exploring more videos.
![trigonometry assignment year 10 Quiz Image](https://cdn1.byjus.com/byjusweb/img/interactive-quiz/Quiz_cartoon.png)
Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!
Select the correct answer and click on the “Finish” button Check your score and answers at the end of the quiz
Visit BYJU’S for all Maths related queries and study materials
Your result is as below
Request OTP on Voice Call
Leave a Comment Cancel reply
Your Mobile number and Email id will not be published. Required fields are marked *
Post My Comment
![trigonometry assignment year 10](https://cdn1.byjus.com/wp-content/uploads/2023/03/avatar.png)
Please visit: https://byjus.com/ncert-solutions-class-10-maths/chapter-8-introduction-to-trigonometry/
Very nice notes .It’s really help me
Can u answer my questions of this chapter!?
What’s the question
found these points becoming most helpful to solve my confusion very helpful notes thank you byju’s
Thank you!! This helped!
SinA=45° CosA=35° TanA=69° Please clear my doubt
cot full form please
Cot stands here for Cotangent
Cot stands for Cotangent
Really helpful thank you byju’s
![trigonometry assignment year 10 trigonometry assignment year 10](https://cdn1.byjus.com/wp-content/uploads/2022/12/Vector-2219-2.png)
![](http://pechenka.online/777/templates/cheerup1/res/banner1.gif)
Register with BYJU'S & Download Free PDFs
Register with byju's & watch live videos.
![Studiosity - Home Studiosity - Home](https://www.studiosity.com/hs-fs/hubfs/Studiosity_Master_RGB-Reversed-1.png?width=320&name=Studiosity_Master_RGB-Reversed-1.png)
- Services for education institutions
- Academic subject areas
- Peer connection
- Evidence of Studiosity impact
- Case studies from our partners
- Research Hub
- The Tracey Bretag Integrity Prize
- The Studiosity Symposium
- Studiosity for English learners
- Video case studies
- Meet the online team
Academic Advisory Board
Meet the board.
- Social responsibility
- Meet the team
- Join the team
![trigonometry assignment year 10 Student Sign In](https://no-cache.hubspot.com/cta/default/437097/9dfd8026-cf7f-4da6-ac53-3a2e20a168b0.png)
Pythagoras and Trigonometry Practice Test
Ten practice questions on Pythagoras and Trigonometry, suitable for Maths students in Year 10 of the Australian National Curriculum.
Student Zone
- Practice Tests
- Year 10 Maths: Pythagoras and Trigonometry
More Year 10 quizzes:
![trigonometry assignment year 10 View more quizzes](https://no-cache.hubspot.com/cta/default/437097/1132e63c-ac5e-450a-83d8-06747e660731.png)
ABN 41 114 279 668
Assignment calculator, calendars and organisers, study survival guides, free practice tests, student faqs, download our mobile app, student sign in, success stories.
Student Reviews & Testimonials
Specialist Sign In
Meet our specialists
Meet the team, media and research, student reviews.
Read more on Google
![Google-Review-Studiosity-Rochelle Google-Review-Studiosity-Rochelle](https://www.studiosity.com/hubfs/Studiosity/Components/Google%20Reviews/Screen%20Shot%202020-09-18%20at%202.19.28%20pm.png)
Studiosity acknowledges the Traditional Indigenous Custodians of country throughout Australia, and all lands where we work, and recognises their continuing connection to land, waters, and culture. We pay our respects to Elders past and present.
Contact • FAQ • Privacy • Accessibility • Acceptable Use • Terms of Use AI-for-Learning Polic y • Academic Integrity Policy
If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
To log in and use all the features of Khan Academy, please enable JavaScript in your browser.
Trigonometry
Unit 1: right triangles & trigonometry, unit 2: trigonometric functions, unit 3: non-right triangles & trigonometry, unit 4: trigonometric equations and identities, review articles.
![trigonometry assignment year 10 trigonometry assignment year 10](https://d2k75ezae8u7hz.cloudfront.net/images/theme/flag/au.png)
- Trigonometry
Year 10 Australia School Math Trigonometry
Student assignments, create unlimited student assignments., online practice, online tests, printable worksheets and tests.
Course Index
Build a quiz, subscriptions, qld y10 maths - 10a trigonometry, subtopics of trigonometry.
- Video Tutorials
Create account
Please enter your details, plans & pricing.
With all subscriptions, you will receive the below benefits and unlock all answers and fully worked solutions .
- Teachers Tutors Features Free Pro All Content All courses, all topics Questions Answers Worked Solutions System Your own personal portal Quizbuilder Class Results Student Results Exam Revision Revision by Topic Practise Exams Answers Worked Solutions
- Awesome Students Features Free Pro Content Any course, any topic Questions Answers Worked Solutions Extended Response Questions and Answers Fully Worked Solutions Videos Curated Topic Videos Premium Topic Videos System Your own personal portal Basic Results Analytics Study Recommendations Exam Revision Revision by Topic Practise Exams Answers Worked Solutions
![trigonometry assignment year 10](https://edwardsmaths.com/wp-content/uploads/2018/12/Capture2.png)
Original EdwardsMaths Papers
Grade 10 edwardsmaths test or assignment trigonometry term 2 2022.
- 8186 Download
- 914.87 KB File Size
- 2 File Count
- May 12, 2022 Create Date
- May 12, 2022 Last Updated
Grade 11 EdwardsMaths Test or Assignment Number Patterns Term 2 2022
Grade 12 edwardsmaths test or assignment functions term 2 2022, leave a reply cancel reply.
Your email address will not be published. Required fields are marked *
![trigonometry assignment year 10 Icon](https://edwardsmaths.com/wp-content/plugins/download-manager/assets/file-type-icons/cloud-download.png)
Grade 10 Math Exam June 2015 KZN
Grade 10 math exam june 2018 kzn, grade 10 math exam june 2019 kzn, grade 10 math assignment frans du toit june 2021, grade 12 math test free state term 1 2019.
© 2018 All rights Reserved.
Year 10 Maths
Here I will be putting an update of what we cover in maths each lesson, so even if you miss class you can keep up to date. I will also keep you updated with assignments and tests that we have coming up.
- Assignments
- Work Sheets
- In Class Information
Friday 31 July 2015
Trigonometry assignment.
In Chemistry fundamental concepts like atomic structure, chemical bonding, states of matter, and thermodynamics are introduced. Students learn about the periodic table, chemical reactions, equilibrium, and basic organic chemistry. Practical sessions often involve experiments to understand concepts practically. The curriculum aims to lay a strong foundation for advanced topics in Chemistry, fostering critical thinking and problem-solving skills essential for further studies and real-world applications.
![](http://pechenka.online/777/templates/cheerup1/res/banner1.gif)
IMAGES
VIDEO
COMMENTS
x = 24°or156°. 3. a) From our list, we know that. sin 30° = 1 2. b) The angle lies in the 4 th quadrant; and cos is positive in the 4 th quadrant. The related angle is 360- 300 = 60°, so cos 300° = 12. c) First, we add 2 multiples of 360 to get the angle into the range 0° < x < 360°: tan(−585 + 720)° = tan 135°.
Trigonometry for Year 10. This chapter covers naming the sides of a right-angled triangle, finding side-lengths, using the sine ratio, using the cosine ratio, using the tangent ratio, using a graphics calculator, finding angles, using inverse sine, using inverse cosine, using inverse tangent and problem solving.
At this level, students apply their knowledge of Pythagoras' theorem to solve problems involving angles of elevation and depression and direction. They explore how direction can be indicated using true bearings and compass points. The use of concrete materials and/or dynamic geometry software can assist students in visualising 3D objects.
Class 10 Maths Chapter 8 Introduction to Trigonometry Notes. The notes for trigonometry Class 10 Maths are provided here. In maths, trigonometry is one of the branches where we learn the relationships between angles and sides of a triangle. Trigonometry is derived from the Greek words 'tri' (means three), 'gon' (means sides) and ...
Curriculum-based maths in NSW. Year 10 Maths 5.3. Find topic revision, diagnostic quizzes, extended response questions, past papers, videos and worked solutions for Trigonometry. This topic includes the following subtopics: Trigonometric Ratios, Finding Unknown Angles, Finding Unknown Sides, 2D Applications, Bearings, 3D Trigonometry, Obtuse Angles and Exact Values, Sine Rule, Cosine Rule ...
Use your calculator to find the tan, cos and sin for each angle (to 4 decimal places) Use your calculator to find the angle size (to 2 decimal places) using the ratios given. ratio. Angle size. 7. (tan) 0.4165.
Free lesson on Trigonometric ratios, taken from the 5 Trigonometry topic of our NSW Syllabus (3-10) 2020/2021 Edition Stage 5.1-2 textbook. Learn with worked examples, get interactive applets, and watch instructional videos.
Subtopics of Trigonometry. Curriculum-based maths in NSW. Year 10 Maths 5.1. Find topic revision, diagnostic quizzes, extended response questions, past papers, videos and worked solutions for Trigonometry. This topic includes the following subtopics: Trigonometric Ratios, Finding Unknown Angles, Finding Unknown Sides, Applications in Two ...
YEAR 10 Stage 5.3 Mathematics Applications of Trigonometry Assignment Due Date: Thursday 2rd August (Term 3 Week 2) Assessment Name: Applications of Trigonometry Assignment Name: Mark: /24 Weighting: 30% SYLLABUS OUTCOMES TO BE ASSESSED: MA5.3-1WM uses ... MA5.2-13MG applies trigonometry to solve problems, including problems involving bearings
Trigonometry Year 10 Trigonometry is mostly about following a set of rules, which need to be memorised. No amount of working will help if the rules have been memorised poorly. The steps for any trigonometry problem are always the same: 1. Find a right angle triangle to solve. 2. Name the sides using the conventions below. 3.
Follow us. Fun maths practice! Improve your skills with free problems in 'Trigonometric ratios: sin, cos and tan' and thousands of other practice lessons.
Pythagoras and Trigonometry Practice Test. Ten practice questions on Pythagoras and Trigonometry, suitable for Maths students in Year 10 of the Australian National Curriculum. Test your trigonometry skills with this free practice test, written for students in Year 10 of the Australian National Curriculum.
Year 10 - Trigonometry and its Applications problems, online practice, tests, worksheets, quizzes, and teacher assignments.
Pythagoras and trigonometry: Year 10/10A
Trigonometry 4 units · 36 skills. Unit 1 Right triangles & trigonometry. Unit 2 Trigonometric functions. Unit 3 Non-right triangles & trigonometry. Unit 4 Trigonometric equations and identities. Course challenge. Test your knowledge of the skills in this course. Start Course challenge. Math.
Trigonometry problems, practice, tests, worksheets, questions, quizzes, teacher assignments | Year 10 | Australia School Math
Curriculum-based maths in QLD. Year 10 Maths - 10A. Find topic revision, diagnostic quizzes, extended response questions, past papers, videos and worked solutions for Trigonometry. This topic includes the following subtopics: Trigonometric Ratios, Finding Unknown Sides, Finding Unknown Sides (in Denominator), Finding Unknown Angles, Applications Using Angles of Elevation And Depression ...
914.87 KB File Size. 2 File Count. May 12, 2022 Create Date. May 12, 2022 Last Updated. File. Action. Gr 10 Edwardsmaths Test or Assignment Trigonometry T2 2022 Eng.docx. Download. Gr 10 Edwardsmaths Test or Assignment Trigonometry T2 2022 Memo.docx.
Free lesson on Trigonometric ratios, taken from the 5 Trigonometry topic of our Australian Curriculum 3-10a 2020/21 Editions Year 10 textbook. Learn with worked examples, get interactive applets, and watch instructional videos. Book a Demo. Topics. 5 T r i g o n o m e t r y. 5. 0 1 P y t h a g o r a s ' t h e o r e m.
The assignment is due on Wednesday the 5th of August. This is also the date we have our test. We will have all lesson on Monday the 3rd of August to complete this assignment as well. If you were absent, the assignment can be found under the "Assignments" tab. As always, if you have any questions don't hesitate to comment on here, or email or ...
2 = c 2 - a 2 b = √c 2 - a 2. is the hypotenuse whereas a and b can be switched interchangeably. Pythagoras in 3 Dimensions. The Pythagorean Theorem can also be used in three dimensions to find the diagonal length of a rectangular prism. d = √x 2 + y 2 + z 2. Finding right angles in general shapes. Example X.
This assignment will address many outcomes from the Stage 5 syllabus, with particular focus on: Calculates the areas of composite shapes, and the surface area of rectangular and triangular prisms. MA5.1‐8MG. Calculates the surface areas of right prisms, cylinders and related composite solids.