Question

Which side lengths form a right triangle?

Answer 1

Answer:

Options A and B are applicable.

Step-by-step explanation:

The lengths of the sides of a right triangle obey the Pythagoras Theorem that says (Perpendicular)² + (Base)² = (Hypotenuse)².

Now, in option A, the side lengths are 11, 13, and √(290).

So, those lengths form a right triangle as 11² + 13² = {√(290)}².

Again, in option B, the given side lengths are 7, 24, and 25.

So, those lengths form a right triangle as 7² + 24² = 25².

Finally, in option C, the given side lengths are 2, 5, and 7.

But, those lengths do not form a right triangle as 2² + 5² ≠ 7².

Therefore, options A and B are applicable. (Answer)