Answer :

Capture.JPG


BD and CE are bisectors of B and C


ABD = DBC


ACE = BCE


Since Δ ABC is isosceles so


ABC = ACB …(i)


Since BD and CE are bisectors so


2DBC = 2ECB


DBC = ECB …(ii)


BC = BC (Common) …(iii)


From (i) , (ii) and (iii) we can say


Δ BCE and Δ BCD are congruent to each other by A.A.S. axiom of congruency


So we can say


BD = EC (Corresponding parts of Congruent triangles)


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