Question

If d , e, and f are midpoints of the sides of ABC, find the perimeter of ABC.

Answer 1

Answer:

Perimeter of the ΔDEF = 10.6 cm

Step-by-step explanation:

The given question is incomplete; here is the complete question with attachment enclosed with the answer.

D, E, and F are the midpoints of the sides AB, BC, and CA respectively. If AB = 8 cm, BC = 7.2 cm and AC = 6 cm, then find the perimeter of ΔDEF.

By the midpoint theorem of the triangle,

Since D, E, F are the midpoints of the sides AB, BC and CA respectively.

Therefore, DF ║ BC and $FD=\frac{1}{2}\times(BC)$

FD = $\frac{7.2}{2}$

     = 3.6

Similarly, $FE=\frac{1}{2}\times(AB)$

$FE=\frac{8}{2}$

FE = 4 cm

And $DE=\frac{AC}{2}$

DE = $\frac{6}{2}$

     = 3 cm

Now perimeter of ΔDEF = DE + EF + FD

= 3 + 4+ 3.6

= 10.6 cm

Perimeter of the ΔDEF is 10.6 cm.