A right triangle with G and F as the two base angles and E as the top angle. Side EF is Y, side FG is x, while side EG is 2x. If Y = 15, what is the value of x?

----Please help, and explain.

use Pythagorean Theorem:

x^2 + (2x)^2 = y^2
x^2 + 4x^2 = 225
5x^2 = 225
x^2 = 45
x = 3√5