Question

Which side lengths form a right triangle?

Choose all answers that apply:
Choose all answers that apply:

(Choice A, Checked)
A
11, 13, \sqrt{290}11,13,
290
​
11, comma, 13, comma, square root of, 290, end square root

(Choice B, Checked)
B
7, 24, 257,24,257, comma, 24, comma, 25

(Choice C)
C
2, 5, 72,5,7

Answer 1

a and b

Explanation:

khan

Answer 2

Options A and B are applicable.

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)