Generalising: Pythagoras's theorem

Generalising: Pythagoras's theorem

Lesson details

Key learning points

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

Licence

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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.
An image in a quiz
difference
product
Correct answer: sum
Q2.
What is the side length of the larger square?
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Correct answer: √10
√8
10
8
Q3.
What is the side length of the larger square?
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√12
Correct answer: √26
12
26
Q4.
What is the side length of the larger square?
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Correct answer: √29
√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?
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√104
√20
Correct answer: 104
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?
An image in a quiz
Correct answer: √104
√29
104
29

4 Questions

Q1.
What is the name of the longest side of a right-angled triangle?
base
height
Correct answer: hypotenuse
Q2.
Which diagram shows the hypotenuse correctly highlighted and labelled?
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Option 1
Correct answer: Option 2
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.
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Option 1
Option 2
Correct answer: Option 3
Option 4
Q4.
Work out the length of the hypotenuse of the triangle shown below.
An image in a quiz
14 cm
25 cm
Correct answer: 5 cm
7 cm

Lesson appears in

UnitMaths / Pythagoras's theorem