Answer
The height, h, is 8.
Work Step by Step
EX=DW
WX-ZY=EX+DW
WX-ZY=2EX
2EX=20-8
2EX=12
EX=6
EX$^{2}$+EY$^{2}$=YX$^{2}$
6$^{2}$+EY$^{2}$=10$^{2}$
EY$^{2}$=100-36
EY=8
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