If a triangle has sides that measure 60, 75, and 45, is it a right triangle?

1 answer

To determine if a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, let's assume that the side measuring 75 is the hypotenuse. The Pythagorean theorem can be written as:

60^2 + 45^2 = 75^2

Simplifying,

3600 + 2025 = 5625

5625 = 5625

Since the equation is true, the triangle with sides measuring 60, 75, and 45 is indeed a right triangle.