Consider ADEF in the figure below.
The perpendicular bisectors of its sides are XW, YW, and ZW. They meet at a single point W.
(In other words, W is the circumcenter of ADEF.)
Suppose YW = 24, DE=128, and FW = 74.
Find EY, DW, and ZE.
Note that the figure is not drawn to scale.
D
Z
12
F