This triangle is a right triangle because it satisfies the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, \(24^2 + 32^2 = 576 + 1024 = 1600 = 40^2\), so the triangle is a right triangle.
