Multiple Choice

Find the missing side length.

A right triangle with sides 9 in, 12 in and c.
(1 point)
Responses solve it and tell me why

12 in.
12 in.

15 in.
15 in.

17 in.
17 in.

21 in.

1 answer

To find the missing side length in a right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the given sides are 9 in and 12 in, and the missing side is denoted as c.

9^2 + 12^2 = c^2
81 + 144 = c^2
225 = c^2
c = √225
c = 15

Therefore, the missing side length is 15 in.

The correct answer is:
15 in.