Question

Which of the following triangle lengths form right triangles? Select all that apply.

A) (7, 11, 13)
B) (10, 24, 26)
C) (12, 16, 20)
D) (12, 35, 37)
E) (13, 15, 19)

Answer 1

The triangles (7, 11, 13) and (12, 35, 37) form right triangles.

Step-by-step explanation:

In order to determine which of the given triangles form right triangles, we can apply the Pythagorean theorem. According to the theorem, in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

A right triangle can be formed from the following triangle lengths:

• (7, 11, 13)
• (12, 35, 37)