Question

Which side lengths represent the sides of a right triangle?

A. 2,3,5
B. 7,24,25
C. 7,23,25
D. 12,16,21

Answer 1

the answer would be d

Answer 2

For this case we have that every rectangle triangle complies with the Pythagorean theorem, that is, in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. So:

Option A:

`5 ^ 2 = 2 ^ 2 + 3 ^ 2\\25 = 4 + 9`

It is not fulfilled

Option B:

`25 ^ 2 = 7 ^ 2 + 24 ^ 2\\625 = 49 + 576\\625 = 625`

Is fulfilled.

Option C:

`25 ^ 2 = 7 ^ 2 + 23 ^ 2\\625 = 49 + 529\\525 = 578`

It is not fulfilled

Option D:

`21 ^ 2 = 12 ^ 2 + 16 ^ 2\\441 = 144 + 256\\441 = 400`

Thus, it is observed that option b fulfills the Pythagorean theorem

Answer:

Option B