E and F are mid-points of AB and AC respectively in triangle ABC and D is the mid-point of BE. Prove that area (triangle EDF) = 1/8 (ar triangle ABC)

Asked by Aravindh Ramesh | 7th Jan, 2014, 07:42: PM

Expert Answer:

 
Consider the following figure.
Join BF.
 

ar of triangle (ABF) = 1/2 ar(ABC)

ar of triangle (EFB) = 1/2 ar(ABF)

ar of triangle (EDF) = 1/2 ar(EFB)

Thus, ar(triangle EDF)
 

Answered by Vimala Ramamurthy | 8th Jan, 2014, 02:02: PM

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