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Join DE
Now,
In triangle ABC and triangle ADE,
AB=AD(Given)
AC=AE(Given)
and
<BAC=<DAE
(As,
<BAD=<CAE
:.<BAD+<DAC=<CAE+<DAC
=><BAC=<DAE)
:.triangle ABC is congruent to triangle DAE(By SAS)
:.BC=DE(By CPCTC)
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