Question

solve for x and y.
x= (simplify your answer. type an exact answer, using radicals as needed.)
help me solve this view an example get more help

Explanation:

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

In a right - triangle, the altitude \(x\) to the hypotenuse is the geometric mean of the segments of the hypotenuse. The formula is \(x=\sqrt{6\times2}\).

Step2: Simplify the expression

$$
LATEXBLOCK0
$$

Answer:

\(x = 2\sqrt{3}\)