Question

What is the value of x?

Right triangle. Vertices are not labeled. The length of one side equals 18.15. The length of the second side equals 17.39. The length of the hypotenuse is unknown, and is labeled x.

Round your final answer to the nearest tenth.

Answer 1

x=25.1

Explanation:

by using Pythagorean theorem,
`a^(2) +b^(2)=c^(2)` where c is the hypotenuse

`18.15^(2)`= 329.4225

`17.39^(2)`= 302.4121

since those two side lengths are the legs, the sum of the numbers is the length of the hypotenuse squared

therefore, 631.8356 (the sum) =
`c^(2)`

by taking the square root of 631.8356, you will get approx 25.1 for the hypotenuse (aka x)