can 63in 16in 65in be the sides of a right trangle

To determine if the given side lengths can form a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem 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.

If you have sides of lengths A, B, and C, where C is the length of the hypothesized hypotenuse, then they can form a right triangle if the following equation is true:

A^2 + B^2 = C^2

Given the side lengths 63 inches, 16 inches, and 65 inches, we can test to see if this forms a right triangle by substituting and checking if the above equation is satisfied:

63^2 + 16^2 = 65^2
3969 + 256 = 4225
4225 = 4225

Since both sides of the equation match, the side lengths satisfy the Pythagorean theorem, and thus they can indeed form a right triangle.