Question

Find the value of x
Please help!

Answer 1

Explanation:

We have to use Pythagorean's Theorem twice here, first to find the length of the dotted line, which I will call h, and then again to find x. First we need to find h so we can use it to find x:

`(2√(5))^2=4^2+h^2` and

`20=16+h^2` and

`4=h^2` so

h = 2. Then again:

`x^2=2^2+22^2` and

`x^2=4+484` and

`x^2=488` so

x = 2√122