If a triangle has sides measuring 60 75 and 45 is it a right triangle

To determine if a triangle is a right triangle, we can use the Pythagorean theorem, which states that for any 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.

Let's calculate the squares of the lengths of the sides:
60^2 = 3600
75^2 = 5625
45^2 = 2025

Now, let's check if the sum of the squares of the two smaller sides is equal to the square of the longest side (the hypotenuse):
3600 + 2025 = 5625

The sum of the squares of the two smaller sides is equal to the square of the longest side. Therefore, this triangle with sides measuring 60, 75, and 45 is indeed a right triangle.