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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
SravyaK:
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Answered by
3
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
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
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