Can the numbers 24, 32,40 be the lengths of the three sides of a right triangle? explain why or why not

2 answers

Yes, the numbers 24, 32, and 40 can be the lengths of the three sides of a right triangle because they satisfy the Pythagorean theorem, which states that the sum of the squares of the two shorter sides of a right triangle equals the square of the longest side, or hypotenuse.

Using this formula, we can check if 24^2 + 32^2 = 40^2:

24^2 + 32^2 = 576 + 1024 = 1600

40^2 = 1600

Since both sides are equal, the Pythagorean theorem holds and the numbers can indeed be the lengths of the sides of a right triangle.
just think 3-4-5 times 8