Question

5. Solve for x.
21
4

Answer 1

Answer: 10

Step-by-step explanation:

By the geometric mean theorem, if we let the length of the altitude to the hypotenuse be $y$, this means that $y^{2}=84 \longrightarrow y=\sqrt{84}$.

So, by the Pythagorean theorem, $x=\sqrt{(\sqrt{84})^{2}+4^{2}}=\boxed{10}$