Question

In a given triangle ABC, if E and F are the mid points of AB and AC respectively and EF // BC
If AE=3,AF=4 ,EC=4, Find BE =?​

Answer 1

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)