pls solve this question
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Answer:
InΔAMC,
AC
2
=AM
2
+CM
2
[By Pythagoras Theorem]....(i)
InΔAMD,
AD
2
=AM
2
+DM
2
[By Pythagoras Theorem]....(ii)
∴AM
2
=AD
2
−DM
2
⇒AC
2
=[AD
2
−DM
2
]+CM
2
AC
2
=AD
2
−DM
2
+(DC+DM)
2
=AD
2
−DM
2
+DC
2
+2DC.DM+DM
2
=AD
2
+DC
2
+2DC.DM
=AD
2
+(
2
BC
)
2
+2
2
BC
DM
AC
2
=AD
2
+BC.DM+
4
BC
2
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