Question

use the image to answer the question.
use the geometric mean to solve for the value of x. round your answer to the nearest tenth.
(1 point)
x =\square

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, \( x = \sqrt{3\times4} \).

Step2: Calculate the product inside the square root

First, calculate \( 3\times4 = 12 \).

Step3: Take the square root and round

Then, \( x=\sqrt{12}\approx3.5 \) (rounded to the nearest tenth).

Answer:

\( 3.5 \)