I need help ASAP, marking brainliest. Please show work.

Answer:
WY = 28
Step-by-step explanation:
Using the pythagorean theorem, we can find out the measures of lenghts WX and YX individually.
VX^2 = VW^2 + WX^2
ZX^2 = ZX^2 + XY^2
Substitute
400 = 256 + WX^2
400 = 144 + XY^2
Simplify
WX^2 = 144
XY^2 = 256
WX = 12
XY = 16
WY = 28