Answer: x = [tex]\sqrt{320}, or 17.8885438[/tex]
Step-by-step 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
