2. In a triangle ABC, E and F respectively are mid-
points of equal sides AB and AC of AABC. Show that
BF = CE.
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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)
I hope it help you..
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