Question

5. Solve for x.
21
4

Answer 1

Answer: 10

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=√(84)`.

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