Question

Find the value of x
Please help!

Answer 1

Answer:

Step-by-step 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:

$(2\sqrt{5})^2=4^2+h^2$ 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