What are the values of x and y?

∆ABD : AB = 17, AD = 15
∆BCD : BD = 8 , BC = y , DC = x

We can use the Pythagorean theorem to solve for x and y.

In triangle ABD, we have:

BD^2 = AD^2 + AB^2
8^2 = 15^2 + 17^2
64 = 225 + 289
64 = 514 (not possible)

This means that triangle ABD is not a valid triangle, so we cannot find values of x and y for triangle BCD.