Question

Triangle ABC has side lengths 20, 24, and 31. Do the side lengths form a Pythagorean triple?

Answer 1

The sides do not form Pythagorean triple.

Explanation:

The sides are `20`, `24` and `31`.

Square of the largest side is `31xx31=961`.

Sum of the squares of two smaller sides is `20^2+24^2`

= `400+576=976`

As the square of the largest side is less than sum of the squares of two smaller sides, the sides do not form Pythagorean triple.

In fact they form an acute angled triangle as `31^2 < 20^2+24^2`.