Question

Pls need help solving this.

Answer 1

Answer:

Step-by-step explanation:

Given: ABC is equilateral triangle.

AD = DB   & BE = EC   & CF = FA ------------(IV)

Proof:

  D & F are midpoint of the sides AB and AC

  DF = $\frac{1}{2}BC$            {Midpoint theorem}    

DF = BE     ----------------(I)

D & E are midpoint of the sides AB and BC

DE = $\frac{1}{2}AC$               {Midpoint theorem}      

DE = FA ----------------(II)

E & F are midpoint of the sides BC and AC

$EF = \frac{1}{2}AB$                  {Midpoint theorem}

EF = AD   ---------------(III)

From (I) ; (II) ; (III) ; (IV) ,

DF =  DE = EF

DEF is an  equilateral triangle.