Q. 163.7( 11 Votes )

D, E and F are re

Answer :


ABC is a triangle and D, E and F are mid-points of sides AB, BC and CA, respectively. Then,

AD = BD = AB


BE = EC = BC


And AF = CF = AC


Now, by mid-point theorem,


EF||AB and EF = AB = AD = BD


ED||AC and ED = AC = AF = CF


DF||BC and DF = BC = BE = CE


Now, in ΔADF and ΔEFD,


AD = EF


AF = DE


And DF = FD (common)


ADF EFD


Similarly, ΔDEF DEB


And ΔDEF CEF


Thus, ΔABC is divided into four congruent triangles.

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