Question

use the geometric mean to solve for the value of x.
(1 point)
60
7.75
17
2.65

Explanation:

Step1: Recall geometric mean in right triangles

In a right triangle, the altitude to the hypotenuse is the geometric mean of the segments into which it divides the hypotenuse. So, \( x = \sqrt{5\times12} \).

Step2: Calculate the product inside the square root

First, calculate \( 5\times12 = 60 \).

Step3: Take the square root of 60

\( x=\sqrt{60}\approx7.75 \) (rounded to two decimal places).

Answer:

7.75