# Do the following sets of sides of a triangle satisfy the Pythagorean Theorem: 20,21,29?

Mar 13, 2016

yes- see explanation

#### Explanation:

$\textcolor{b l u e}{\text{ Pythagoras' theorem " " states }}$
'the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides'

The Converse of this statement is that if the square on the longest side of a triangle is equal to the sum of the squares on the other 2 sides then the triangle is right.

square on longest side $= {29}^{2} = 841$

sum of squares on other 2 sides $= {20}^{2} + {21}^{2} = 841$

This means that the triangle is right , with hypotenuse of 29.

Also the set 20,21,29 satisfy the Pythagorean Theorem