Final answer:
Yes, the triangle is a right triangle.
Step-by-step explanation:
A triangle is considered a right triangle if it satisfies the Pythagorean theorem. According to the theorem, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the lengths of the sides are 24 centimeters, 32 centimeters, and 40 centimeters. So, we can calculate:
242 + 322 = 576 + 1024 = 1600
402 = 1600
Since both sides are equal, the triangle satisfies the Pythagorean theorem and is therefore a right triangle.
Learn more about Identifying a right triangle