Question

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Answer 1

Triangle ABC is an equilateral triangle.

⇒ AB = BC = AC

DE = 1/2 AB

EF = 1/2 BC

⇒ EF = 1/2 AB [Since AB = BC = AC]

DF = 1/2 AC

⇒ DF = 1/2 AB [Since AB = BC = AC]

DE = EF = DF

∴ ΔDEF is an equilateral triangle

Answer 2

ABC is a equilateral triangle
So
AB=BC=AC
If D, E, F are the mp of the sides BC, CA, AB
then
By mid point theorem
EF= 1/2 CB
By mid point theorem
FD=1/2 AC
ED=1/2AB
SO
EF =FD=ED=1/2
Hence EFD IS ALSO A EQUILATERAL TRIANGLE