Trigger Activity

Topic of discussion: Pythagoras’ Theorem

Hypotenuse (it is the side opposite to the right angle) For any right-angled triangle, c is the length of the hypotenuse, a and b are the length of the other 2 sides. c 2 = a 2 + b 2 Pythagoras’Theorem a b c

Proof of Pythagoras’Theorem Student Activity

In the right angled triangle ABC, can you spot two other triangles that are similar to it ? By comparing the ratios of the corresponding lengths of the 2 similar triangles, we can lead to the proof that : BC 2 = AB 2 + AC 2 (Pythagoras’ Theorem) Proof using Similar Triangles

Application of Pythagoras’ Theorem

Locked Out & Breaking In You’re locked out of your house and the only open window is on the second floor, 4 metres above the ground. You need to borrow a ladder from your neighbour. There’s a bush along the edge of the house, so you’ll have to place the ladder 3 metres from the house. What length of ladder do you need to reach the window ?

Summary of Pythagoras’ Theorem a b c For any right-angled triangle, c 2 = a 2 + b 2

Worksheet Practice