Question

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

8
14
X

Answer 1

This is a right triangle, so we can use the Pythagorean theorem to solve for x. a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse. In this case, a = 8, b = 14, and we're solving for x, which is the hypotenuse.

So, we have:

8^2 + 14^2 = x^2

Simplifying:

64 + 196 = x^2

260 = x^2

Taking the square root of both sides:

x = 16.12

So, the length of the hypotenuse is approximately 16.12.