Question

1. solve for y. 9 7 3√7 8 4√7 12

Explanation:

Step1: Apply geometric - mean theorem

In a right - triangle, if an altitude \(y\) is drawn to the hypotenuse, then \(y^{2}=9\times7\).

Step2: Solve for \(y\)

Take the square root of both sides. \(y = \sqrt{9\times7}=\sqrt{9}\times\sqrt{7}=3\sqrt{7}\).

Answer:

\(3\sqrt{7}\)