lf D, E and F are respectively the midpoints of the sides BC, CA and A – InterviewSolution

InterviewSolution

1.	lf D, E and F are respectively the midpoints of the sides BC, CA and AB of an equilateral triangle ABC, prove that `triangle DEF` is also an equilateral triangle.
Answer» F,E is bisect of`AB&AC` `=FE\|\|BC` `=FE\|\|BD` `BD=BF=FD` `=FEDB`is a \|\|gram `/_FED=/_DBF=60^@` `similarly ` `FD\|\|EC & DE\|\|AF` `/_DFE=/_ECD =60^@` `&/_FDE=/_FAE60^@` `/_ DEF`is an equilateral triangle

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