Question

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

Answer 1

yes- see explanation

Explanation:

`color(blue) " 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