AP ICET 2014

Question 136

In a $$\triangle$$ABC, D, E, F are the mid points of the sides AB, BC and CA respectively. If AB = 8 cm, BC = 15 cm and AC = 12 om, then DE + EF + FD =

Solution

From mid-point theorem of triangles,we can say that DE||CA and DE=1/2(CA)=6

Similarly EF||AB and EF=1/2(AB)=4

And FD||BC and FD=1/2(BC)=7.5

EF+FD+DE=6+4+7.5=17.5


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