Question

Find the value of x. Round your answer to the nearest tenth. ​

Answer 1

Answer: 35.1

Explanation:

Note that the altitude to the hypotenuse splits the hypotenuse into segments of lengths 16 and 28.

Using the geometric mean theorem, the length of the altitude to the hypotenuse is
`√(16(28))=8√(7)`.

Using the Pythagorean theorem,
`x=\sqrt{(8√(7))^2 +28^2} \approx 35.1`.