Question

use the geometric mean (altitude) theorem. what is the value of m? 4 2√7 4√10 160

Explanation:

Step1: Apply geometric mean (altitude) theorem

The geometric mean (altitude) theorem states that in a right - triangle, the altitude \(m\) to the hypotenuse is the geometric mean between the segments of the hypotenuse. If the hypotenuse has segments \(a = 8\) and \(b=20\), then \(m=\sqrt{8\times20}\).

Step2: Simplify the expression

$$
LATEXBLOCK0
$$

Answer:

\(4\sqrt{10}\)