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lf D, E and F are respectively the midpo...

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.

Text Solution

Verified by Experts

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`
...
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