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To Prove:- AO=BO
Solution:-
For, proving AO=BO, we've to prove those triangles are congruent,that is
∆AOD≈∆BOC
we know
AD=BC (given) (S)
angle OBC=angle OAD=90° (perpendicular) (A)
angle O = angle O (common angle) (A)
therefore by A.A.S congruence rule
∆AOD≈∆BOC
if,so
then by "Corresponding parts of congruent triangles",
AO=BO
hope it helps
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