Question

, =
A
с
E
B.
D
2. In the given figure, AB = AC, BD = EC. Prove that triangle ABE congruent triangle ACD and AD = AE.​

Answer 1

Answer:

Step-by-step explanation:

Since, AB = AC

Angle B = Angle C

Also,

BD = EC

BD + DE = EC + DE

BE = CD

Now, in triangles ABE and ACD,

angle B = angle C

AB = AC

BE = CD

Therefore, by SAS criterion

ABE is congruent to ACD

Also,

AD = DE by cpct