in the adjacent figure ab is a chord of circle with centre o.cd is the diameter perpendicular to ab. show that ad=bd
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Let D meet AB at P
In∆DPA and ∆DPB
AP=PB [ perpendicular drawn to the chord bisects the chord]
DP=DP [common side]
angle DPA= angle DPB [Both are equal to 90°]
By Side Angle Side , ∆DPA = ∆DPB
By CPCTC AD = BD
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