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SSS similarity

E and F are r...

Question

$E$ and $F$ are respectively the mid-points of equal sides $A B$ and $A C$ of $Δ A B C$ (see figure) Show that $B F = C E$

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Solution

In $Δ A B F$ and $Δ A C E$ ,
$A B = A C$ (Given)
$∠ A = ∠ A$ (common angle)
$A F = A E$ (Halves of equal sides)
So, $Δ A B F ≅ Δ A C E$ (SAS rule)
Therefore, $B F = C E (C P C T)$

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