Question

use the image to answer the question
image shows a triangle with X height splitting it into 2 triangles with the bases 6 and 3

use the geometric mean to find x round your answer to the nearest tenth

(1 point)
Geometric Mean is

Answer 1

In a right triangle the altitude to the hypotenuse equals the geometric mean of the two hypotenuse segments. So

x = sqrt(6·3) = sqrt(18) = 3√2 ≈ 4.2426

Rounded to the nearest tenth: x ≈ 4.2.