Finding a Hypotenuse and a Short Side

Example1 Find the length of the hypotenuse of the right-angled triangle shown in the diagram.
Solution: Let the length of the hypotenuse be x cm. By Pythagoras' Theorem,
So, the length of the hypotenuse is 7.45 cm. Example 2 Calculate the side-length missing from this diagram of a right-angled triangle. Solution: Let the missing side-length be x m, as shown. By Pythagoras' Theorem, So, the missing side-length is 2 Test Yourself: Pythagoras Exercise one http://www.subtangent.com/maths/ty-pythagoras.php Exercise Two http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i3/bk8_3i1.htm Exercise Three http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i3/bk8_3i2.htm