Question

E and F are respectively the mid - points of equal sides AB and AC of ∆ABC(See figure)Then_________(A) BF=AC. (B)BE=AF. (C) CE =AB. (D) BF=AC

Answer 1

Answer:

Given E and F are mid point of equal sides AB and AC of triangle ABC

In ΔABF and ΔACE

AB=AC (given )

∠A=∠A (common angle )

AF=AE (halves of equal sides)

∴ΔABF≅ΔACE (SAS rule)

∴BF=CF (CPCT)