In a Δ ABC, D, E and F are, respectively, the mid points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm, respectively, find the perimeter of Δ DEF.

Question

In a &#x394; ABC, D, E and F are, respectively, the mid points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm, respectively, find the perimeter of &#x394; DEF.

Philoid · Accepted Answer

Given,

In ΔABC

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

AB = 7cm

BC = 8cm

CA = 9cm

We need to find out the perimeter of DEF

So,

So, perimeter of DEF

DE+EF+DF = 4+3.5+4.5 = 12cm

In a ΔABC, D, E and F are, respectively, the mid points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm, respectively, find the perimeter of ΔDEF.