Question

Using the Pythagorean Theorem, is a triangle with sides measuring the following a right triangle: `12, 9, 15`?

Answer 1

Yes

Explanation:

In a right angled triangle, the square on the hypotenuse (longest side - side opposite the right angle) is equal to the sum of the square on the other 2 sides.

Now since `12^2+9^2=225=15^2`, it follows that these 3 dimensions do describe that of a right-angled triangle since Pythagoras Theorem is satisfied.