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Label Sides of a Triangle

In this worksheet, students will become familiar with labelling sides of a triangle to help solve trigonometry problems.

'Label Sides of a Triangle ' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Geometry and Measures, Mensuration

Curriculum subtopic:   Mensuration and Calculation Triangle Mensuration

Difficulty level:  

Worksheet Overview

man on a mountain                  sailing           

 

How can you find the height of this mountain?

How can this mountaineer draw an accurate map?

How did sailors navigate before GPS?

How can computers rotate images so that they can be viewed from many different directions?

 

Answer:

By looking at angles and sides of triangles, and making connections between them.

This is called trigonometry.

 

Trigonometry is concerned with calculating the sides of triangles and angles within them.

There are three important ratios that you will need to know:  sine, cosine and tangent. These are ratios of the sides of a right angled triangle, which are used for finding an angle.

Before you can solve anything using sine, cosine and tangent accurately, you need to be able to label a triangle correctly.

 

 

Things to remember

The longest side of a right angled triangle is called the hypotenuse (H)

The side opposite the angle is called the opposite side (O)

The side next to the angle is called the adjacent side (A)

 

 

Example

Label the lengths on this triangle:

 

right triangle

 

Label the hypotenuse first, as it is the easiest to spot. The hypotenuse is always the longest side:

 

h labelled

 

Next, look at the angle. The length that touches this angle is the adjacent:

 

a labelled

 

That just leaves the opposite side to label. It is the length that is literally opposite the angle: 

 

o labelled

 

 

Have a go at the following set of questions to test your understanding.

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