A triangle has sides with lengths of 60 millimeters, 65 millimeters, and 25 millimeters. Is it a right triangle?

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 (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Step 1: Identify the longest side. In this case, it's the side that is 65 millimeters long.

Step 2: Square the lengths of all the sides: 60^2 = 3600 65^2 = 4225 25^2 = 625

Step 3: Check if the square of the longest side is equal to the sum of the squares of the other two sides: 4225 = 3600 + 625 4225 = 4225

Since the equation is true, the triangle is a right triangle.