Question

find the value of x to the nearest tenth.

Explanation:

Step1: Use the geometric mean theorem (altitude-on-hypotenuse theorem)

For a right - triangle, if an altitude is drawn to the hypotenuse, then \(x\times1 = 2\times3\) (by the geometric mean theorem: in a right - triangle, the product of the lengths of the segments of one hypotenuse segment and the adjacent side is equal to the product of the other hypotenuse segment and its adjacent side).

Step2: Solve for \(x\)

From \(x\times1=2\times3\), we have \(x = 6.0\)

Answer:

\(6.0\)