Question

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

Explanation:

Step1: Apply the geometric mean (altitude) theorem

The geometric mean (altitude) theorem states that in a right - triangle (formed by the altitude to the hypotenuse of a larger right - triangle), the altitude \(m\) to the hypotenuse is the geometric mean of the lengths of the two segments of the hypotenuse. Here, the two segments of the hypotenuse are \(8\) and \(2\).
The formula is \(m=\sqrt{8\times2}\).

Step2: Calculate the value

First, calculate \(8\times2 = 16\). Then, \(\sqrt{16}=4\).

Answer:

\(4\)