Question

Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not. Write an essay. Pls, help. Thx

Answer 1

No because in a right triangle there is always a measure of 90 degrees. In the numbers listed there is no measure of 90 degrees. The numbers given would make an isosceles triangle.

Answer 2

Yes.

Explanation:

Use the Pythagorean Theorem and Pythagorean triples.

One commonly used Pythagorean triple is 3, 4, 5.

24 is a multiple of 3 (3*8=24), 32 is a multiple of 4 (4*8=32), and 40 is a multiple of 5 (5*8=40). This concludes that the numbers 24, 32, and 40 can be the lengths of the three sides of a right triangle.

To further check our response, we can use the Pythagorean Theorem.

a^2+b^2=c^2

24^2+32^2=40^2

576+1024=1600

1600=1600

Our response is correct.