Question

What is the answer to this somebody!!!

Answer 1

Use the geometric mean for right triangles as the sides are related to the hypotenuse. 30 - 6 = 24. We need that for our proportion. $\frac{24}{x}=\frac{x}{30}$. We cross-multiply to get $x^2=720$. Taking the square root of both sides gives us that $x=12\sqrt{5}$, the second choice above.