Question

Please I don’t know how to do this

Answer 1

Answer: x =
`√(320), or 17.8885438`

Explanation:

According to the pythagorean theorem, a^2 + b^2 = c^2.

As such, 4^2 + x^2 = (4sqrt5)^2

16 + x^2 = 80

x^2 = 64

x = 8.

Thus, the dashed line in the center is 8.

Simply plug this into the pythagorean theorem as well.

8^2+16^2=p^2

p^2 = 320

p = 17.8885438, or sqrt 320