Pythagoras’ Theorem

This only works for right angled triangles!pythagoras theoremExaminers love to give you “distance between two points” questions that involve this theorem.

Example: Find the distance between points (1,-4) and (6,3) on the graph.

If given a question like this simply draw a right angled triangle matching up the two points and find the length of the two shorter sides.pythagoras graph example So here the shorter sides are 7 and 5.

72 + 52 = 49 + 25 = 74

So the distance between the points = √ 74 = 8.602 (3 d.p.).