Question

in triangle abc.Ab=Ac.Bc is produced to D.E is any point on Ab.Ed is joined intersecting Ac at F.Prove Af>Ae​

Answer 1

Answer:

As, AB=BE

B is mid point of AE

Consider △EAD

From midpoint Theorem

BM=21AD (AsAD∥BM) & B is mid point of AE

⇒=21BC (As AD = BC for parallelogram)

⇒ M is midpoint of BC 

Hence ED bisects BC

Answer 2

Step-by-step explanation:

REF.Image.

As, AB=BE

B is mid point of AE

Consider △EAD

From midpoint Theorem

BM=

2

1

AD (AsAD∥BM) & B is mid point of AE

⇒=

2

1

BC (As AD = BC for parallelogram)

⇒ M is midpoint of BC

Hence ED bisects BC