Question

In figure D, E and F are midpoints of sides BC, CA and AB respectively. If AB=4.3cm,BC=5.6cm and AC=3.9cm,then find the perimeter of the following : 1)triangle DEF 2)quadrlateral BDEF

Answer 1

Answer:

AB=4.2

AE=EB=4.2/2=2.1........(1)

AC=3.6

AD=DC=3.6/2=1.8.......(2)

BC=5.6

BF=FC=5.6/2=2.8........(3)

by Mid Point Theorem,

ED=1/2 BC..........(4)

DF=1/2AB...........(5)

EF=1/2AC...........(6)

(1),(2),(3),(4),(5)&(6)=>ED=2.8, DF=2.1 & EF=1.8

now, ED+DF+EF=perimeter of ΔDEF

Therefore, perimeter of Δ DEF=2.8+2.1+1.8=6.7cm

Hope it helps...

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Step-by-step explanation: