Question

A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.

Answer 1

A right triangle follows Pythagoras theorem.

So let's see if the following triangle do so.

(hypotenuse)² = (base)² + (altitude)²

10² = 6² + 8²

100 = 36 + 64

100 = 100

The given triangle follows the Pythagoras theorem.

So, the triangle is a right triangle.