Question

1. solve for x 12 48 52 60

Explanation:

Step1: Recall geometric mean theorem

In a right triangle, the altitude to the hypotenuse is the geometric mean of the segments into which it divides the hypotenuse. Let the two segments be \( a = 36 \) and \( b = 64 \), then \( x=\sqrt{36\times64} \).

Step2: Calculate the product inside the square root

First, calculate \( 36\times64 = 2304 \).

Step3: Take the square root

Then, \( \sqrt{2304}=48 \).

Answer:

48