A triangle has sides with lengths of 48 feet, 60 feet, and 36 feet. 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 60 feet.

Step 2: Square the lengths of all sides: 48^2 = 2304 60^2 = 3600 36^2 = 1296

Step 3: Check if the square of the longest side is equal to the sum of the squares of the other two sides: 3600 = 2304 + 1296 3600 = 3600

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