Question

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

1.
14.7
234
15.3
216

Answer 1

[AI-generated answer — Bot GPT 3.5]

To apply the Pythagorean Theorem, we need to identify the two shorter sides of the triangle (the legs) and the longest side (the hypotenuse).

Let's assume that the unknown side length is one of the legs, and the other given side lengths are the other leg and the hypotenuse.

In this case, we have:

Leg 1: 14.7
Leg 2: 234
Hypotenuse: 15.3

Using the Pythagorean Theorem (a^2 + b^2 = c^2), we can solve for the unknown side (let's call it x):

14.7^2 + 234^2 = 15.3^2 + x^2

Simplifying this equation:

216.09 + 54756 = 234.09 + x^2
54972.09 = 234.09 + x^2

Subtracting 234.09 from both sides:

54738 = x^2

Taking the square root of both sides:

x = √54738 = 234.06 (rounded to the nearest tenth)

Therefore, the unknown side length is approximately 234.1.