A triangle has sides with lengths of 20 meters, 48 meters, and 52 meters. 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, the longest side is 52 meters.

Step 2: Square the lengths of the sides: 20^2 = 400 48^2 = 2304 52^2 = 2704

Step 3: Check if the square of the longest side is equal to the sum of the squares of the other two sides: 2704 = 400 + 2304

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