Question

1. find the value of y. 8 4√3 8√3 16

Explanation:

Step1: Apply geometric - mean theorem

In a right - triangle, if the altitude \(y\) is drawn to the hypotenuse, then \(y^{2}=4\times12\).

Step2: Solve for \(y\)

\[y=\sqrt{4\times12}=\sqrt{48}=4\sqrt{3}\]

Answer:

\(4\sqrt{3}\)