Question

8. In Fig. 5, ABC is an isosceles triangle in which AB = AC. D, E and F are the midpoints of sides AB, BC and CA respectively. Prove that ADBE AFCE.​

Answer 1

Answer:

AB=AC

½AB =½AC

=> DB=FC

Join A&E.

In triangle ABE & ACE

AB=AC (given)

BE=EC (as E is the midpoint)

AE=AE (common)

Hence, triangle ABE congruence to triangle ACE.

Step-by-step explanation