Question

D,E and F are midpoints of the sides ABC respectively. if AB=8cm.,BC=7.2cm.and AC=6cm.then find the perimeter of ∆DEF.

Answer 1

AB=1/2 EF=4cm
BC=1/2DF=3.6cm
AC=1/2DE=3cm
perimeter of the triangleDEF =10.6cm

Answer 2

Answer:

The perimeter of ΔDEF is 10.6 cm.

Step-by-step explanation:

The segment of line joining the midpoint of two sides of a triangle is called middle segment and it is parallel to the third side of the triangle and its length is half the length of the third side.

So,

DF = BC/2 = 7.2/2 = 3.6

DE = AC/2= 6/2 =3

EF = AB/2 = 8/2 =4

Now, perimeter of ΔDEF = DE + EF + DF = 3 + 4 + 3.6 = 10.6 cm

∴The perimeter of ΔDEF is 10.6 cm.