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Step-by-step explanation:
Given: AB=AC
E and F are mid points of AB and AC
To Prove: BE=CF
Proof: As we know,
angle ABC = angle ACB ( Because angles opposite to equal side are equal )
AND
FB=1/2 AB and EC=1/2 AC (sides are equal.so there halves are also equal)
● NOW,
In triangles BFC and CEB
FB=EC (proved above)
angle FBC = angle ECB (proved above)
BC=BC (common)
By SAS congruence triangle BFC=~ CEB
By CPCT, BE=CF
HENCE PROVED
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