Question

D E and F are the midpoint of side AB BC and CA respectively of triangle ABC find the ratio of the areas of triangle EFD and triangle ABC​

Answer 1

GIVEN

D E F ARE THE MID POINT OF SIDE AB BC AND CA OF TRIANGLE ABC

SOLUTION

BY USING MID POINT THEOREM

DF =1/2BC

EF 1 /2AB

DE 1/2AC

DF/BC=1/2

EF/ AB =1/2

DE/AC = 1/2

DF/BC = EF/AB= DE/AC - equation no.1

BY SSS - SIMILARITY

TRIANGLE ' EFD 'SIMILAR TO TRIANGLE ABC