Question

1. find the value of y.

6√2
3
2
2√2

Explanation:

Step1: Apply geometric - mean theorem

In a right - triangle, if an altitude \(y\) is drawn to the hypotenuse, then \(y^{2}=1\times8\).

Step2: Solve for \(y\)

Take the square root of both sides of the equation \(y^{2}=8\). Since \(y>0\) (as it represents the length of a line - segment), \(y = \sqrt{8}=2\sqrt{2}\).

Answer:

\(2\sqrt{2}\)