Question

Pls someone help
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Answer 1

$\huge \underbrace \mathfrak \red {Answer }$

By using mid point theorem

Since E and F are mid points

=>EF= 1/2 BC

Similarly

DE=1/2 AB

AND DF=1/2 AC

AB=AC=BC

=> EF=DE=DF

a tringle with all sides equal is called equilateral triangle

=> DEF is an equilateral triangle

HENCE PROVED

Answer 2

Here is ur answer⤵

Application:Mid point theorem

Given,

D,E,F are mid points of BC,CA,AB

To prove,

DEF is an equilateral triangle

Solution,

EF=1/2×BC

DE=1/2×AB

DF=1/2×AC

AB=BC=CA (as it is an equilateral triangle)

EF=DE=DF

Therefore,it is proved that Triangle DEF is an equilateral triangle.

Hope it helps..✨

Keep smiling..☺