Question

base BC.
20. In the given figure;
AB = BC and AD = EC.
Prove that : BD = BE.​

Answer 1

Answer:

Step-by-step explanation:

Triangle ADB is congruent to CEB by S.A.S congruence criterion so BD = BE

In triangles ADB and CEB,

AD=EC

AB=BC

Angle BAC = Angle BCA [AB=BC,so ABC is an isosceles triangle. In an isosceles triangle, angles opposite to equal sides are equal.]

So, triangle ADB is congruent to CEB.

Then, by c.p.c.t, BD=BE

-Proved