Question

d e f are the midpoints of the sides BC CA and ab of an equilateral triangle ABC prove that triangle is also an equilateral triangle ​

Answer 1

Hi dear

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.

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Brainiest answer please.