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In this diagram,
In ∆BAD and ∆BEC
=>AB=AC
=>AD=EC(given)
=>AngleABC=Angle(ABD+DBE)=Angle(DBE+EBC)
=> Angle ABD=EBC
So,by SAS Congruence rule the two ∆s are congruent
so by cpct,BD=BE(Proved)
In ∆BAD and ∆BEC
=>AB=AC
=>AD=EC(given)
=>AngleABC=Angle(ABD+DBE)=Angle(DBE+EBC)
=> Angle ABD=EBC
So,by SAS Congruence rule the two ∆s are congruent
so by cpct,BD=BE(Proved)
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