Answer:
x must be 4
Step-by-step explanation:
Write and solve an equation of ratios. Start with the ratio of the hypotenuses:
x + 2 x
----------- = --------
x + 5 x + 2
Cross multiplying results in (x + 2)^2 = x^2 + 5x
performing the indicated squaring, (x + 2)^2 = x^2 + 4x + 4. And therefore:
x^2 + 4x + 4 = x^2 + 5x
Simplifying, we get 4x + 4 = 5x, so x must be 4
