Apply the Pythagorean Theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth.

A: 216

B: 15.3

C: 234

D: 14.7

1 answer

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let us assume that the unknown side length is side B.
Using the Pythagorean Theorem, we can write:

B^2 = A^2 + C^2

Plugging in the values A = 216 and C = 234, we get:

B^2 = 216^2 + 234^2

B^2 = 46656 + 54756

B^2 = 101412

Taking the square root of both sides, we get:

B ≈ 318.8

Rounded to the nearest tenth, the unknown side length B is approximately 318.8.