Question

If E and F are the midpoint of equal sides AB and AC of a triangle ABC then

Answer 1

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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)

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Answer 2

Answer:

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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)