Answer:
[tex]\boxed{15}[/tex]
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.
[tex]XY = \sqrt{VY \times WY} = \sqrt{ 3 \times 75} = \sqrt{225} = \mathbf{15}\\\text{The measure of XY is $\large \boxed{\mathbf{15}}$}[/tex]
