Question

In the diagram below, \overline{XY}

Answer 1

Answer:

$\boxed{15}$

Step-by-step explanation:

We can use the geometric mean theorem:

The altitude on the hypotenuse is the geometric mean of the two segments it creates.

In your triangle, the altitude is XY and the segments are VY and WY.

$XY = \sqrt{VY \times WY} = \sqrt{ 3 \times 75} = \sqrt{225} = \mathbf{15}\\\text{The measure of XY is \large \boxed{\mathbf{15}} }$