# Generalising: Pythagoras's theorem

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## Lesson details

### Key learning points

- In this lesson, we will develop an understanding of Pythagoras' theorem by drawing upon our tilted squares knowledge.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 6 Questions

Q1.

Look at the diagram below and fill in the gap: The area of the larger square is equal to the ........... of the area of the two smaller squares.

difference

product

Q2.

What is the side length of the larger square?

√8

10

8

Q3.

What is the side length of the larger square?

√12

12

26

Q4.

What is the side length of the larger square?

√7

29

7

Q5.

If the pink triangle has a base of 10 and a height of 2. What is the area of the green tilted square?

√104

√20

20

Q6.

If the pink triangle has a base of 10 and a height of 2. What is the side length of the green square?

√29

104

29

### 4 Questions

Q1.

What is the name of the longest side of a right-angled triangle?

base

height

Q2.

Which diagram shows the hypotenuse correctly highlighted and labelled?

Option 1

Option 3

Q3.

A right-angled triangle has the sides a, b and c. Choose the correct formula for finding the length of side a.

Option 1

Option 2

Option 4

Q4.

Work out the length of the hypotenuse of the triangle shown below.

14 cm

25 cm

7 cm