Answer :
Given, D, E and F are mid-points od sides BC, CA and AB, respectively.
So, EF||BC and by Mid-Point Theorem,
DF||AC and DE||AB
Also, EF = BC, DE =
AB and FD =
AC
Since, ABC is an equilateral triangle,
AB = BC = AC
DE = EF = FD
Thus, all sides of ΔDEF are equal.
Hence, ΔDEF is an equilateral triangle.
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