Question

E and F are the midpoints of equal sides AB and AC of a triangle ABC. Then:
a. BF=AC b. BF=AF
c. CE=AB d. BF = CE

Answer 1

$\huge{\mathcal{\underline{\green{ANSWER}}}}$

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=CE (CPCT)

Hence (d) option is correct

Answer 2

Answer:

Hence (d) option is correct