Question

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

Answer 1

ANSWER

10.9

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:

$h= \sqrt{MP \times PO}$

That's,

$h= \sqrt{(24- 7)7}$

$h= \sqrt{17 \times 7}$

$h= \sqrt{119}$

$h= 10.9$

to the nearest tenth.