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using Pythagoras theorm,we get
BD^2=AD^2-AB^2
BD^2=20^2-12^2
BD^2=400-144
BD^2=256
BD=√256
BD=16
now,
x+x=16
2x=16
x=8,8
BM=MD=8
now, again using Pythagoras theorm,we get
BC^2=BM^2+MC^2
y^2=8^2+15^2
y^2=64+225
y^2=289
y=√289
y=17
hope this may helps you
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