To determine if the numbers 24, 32, and 40 can form a right triangle, we can use the Pythagorean theorem. This 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 other two sides.
In our case, we need to check if:
40² = 24² + 32²
Calculating each term:
- 40² = 1600
- 24² = 576
- 32² = 1024
Now we add the squares of 24 and 32:
24² + 32² = 576 + 1024 = 1600
Since 40² equals the sum of 24² and 32² (both equal to 1600), we can conclude that:
Yes, the numbers 24, 32, and 40 can make a right triangle.