Question

If D is the mid point of ∆ABC. E is the mid point of CD and F is the mid point of AE then find area of ∆AFD
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Answer 1

Answer:

36

Step-by-step explanation:

CD is the median of ∆ABC. Therefore it will divide ∆ABC into two triangles of equal areas.

∴Area(∆ADC)= Area(∆CDB)

   

In ∆ADC, E is the mid-point of CD. Therefore AE is the median.

∴Area(∆AED) = Area(∆AEC)

   

     

   

In ∆AED, F is the mid-point of AE. Therefore DF is the median.

∴Area(∆AFD)= Area(∆DFE)

   

     

   

8 x Area (AFD)= Area(∆ABC) ,hence proved