Question

What is the value of h in the diagram below? If necessary, round your answer

to the nearest tenth of a unit.

Answer 1

10.9

Step-by-step explanation

We use the Altitude Theorem to determine the value of h.

According to the Altitude Theorem, the height, h is equal to the geometric mean of the two segment created by the leg of the altitude on the hypotenuse.

This implies that:

`h= √(MP * PO)`

That's,

`h= √((24- 7)7)`

`h= √(17 * 7)`

`h= √(119)`

`h= 10.9`

to the nearest tenth.