Question

E and F are respectively the mid point of equal sides AB and AC of Tri ABC . Show that BF =CE​

Answer 1

Answer:

BF=CE

Step-by-step explanation:

GIVEN: AB=AC-----------1

E the s the mid point of AB and F is the mid point of AC

To Prove: BF=CE

Proof: AB=AC

1/2Ab=1/2AC

AE=AF (E is the mid point of AB and f is the mid point of AC ------2

In ∆ ABF and ∆ ACE

AB=AC from-----1

angle A= angle A (common angle)

AF=AE from------ 2

So, ∆ABF is congurent to ∆ACE (SAS congurence criteria)

BF =CE (CPCT)

Hence Proved