Question

$E$And $F$ Are Respectively the Mid-point of equal sides $AB$and $AC$ of $△ABC$. Show That $BF=CE$.

Answer 1

Congruent triangle:

$E$ and $F$ are midpoints of equal sides $AB$ and $AC$ of triangle $△ABC$.

In triangle$ABF$ and triangle $ACE$

$AB=AC$

$\angle A=\angle A$ (Common angle)

$AF=AE$ (Halves of equal sides)

Therefore,

$△ABF\cong △ACE$ (SAS rule)

$BF=CF\left(CPCT\right)$

Hence, it is proved that $BF=CE$