Pythagoras’ Theorem Lesson | GCSE Maths Edexcel IGCSE Higher | Cognito

Pythagoras’ Theorem

This lesson covers:

How to find a missing side length in a right-angled triangle using Pythagoras' Theorem
Pythagoras' Theorem: $a$ ² + $b$ ² = c²

True or False? Pythagoras' Theorem can only be used with right-angled triangles.

True

False

0

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1

When using the Pythagoras equation below, which letter represents the hypotenuse?

$a$ ² + $b$ ² = c²

a

c

b

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Which side of the triangle below is the hypotenuse?

Right angle triangle with sides labelled 25 cm, 24 cm, and 7 cm showing the hypotenuse.

24 cm side

7 cm side

25 cm side

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Calculate the length of the missing side in the diagram below. Give your answer to 3 significant figures.

Diagram of a right triangle with a 6 cm base, a 4 cm height, and a missing hypotenuse indicated by a question mark.

7.21

cm

cm

cm

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1

Calculate the length of the missing side in the diagram below.

Right-angled triangle with sides 5m and 12m, missing side marked with a question mark.

13

m

m

m

0

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1

Calculate the length of the missing side in the diagram below. Give your answer to 3 significant figures.

Right triangle with sides 8 cm and 11 cm, missing side marked with a question mark.

13.6

cm

cm

cm

0

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1

Calculate the length of the missing side in the diagram below. Give your answer to 3 significant figures.

Right-angled triangle diagram with sides 9 cm and 15 cm, missing side marked with a question mark.

12

cm

cm

cm

0

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1

Calculate the length of the missing side in the diagram below. Give your answer to 3 significant figures.

Diagram of a right triangle with two sides of 5 cm each and a missing side.

7.07

cm

cm

cm

0

/

1

Calculate the length of the missing side in the diagram below.

Right-angled triangle with sides of 8 cm and 17 cm, and a question mark indicating the missing side length.

15

cm

cm

cm

0

/

1

Calculate the length of the missing side in the diagram below. Give your answer to 3 significant figures.

Diagram of a right-angled triangle with sides labeled 6 mm and 8 mm, and a question mark indicating the missing side.

5.29

mm

mm

mm

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1