`A B C` is a triangle in which `D` is the mid-point of `B C` ,` E` and` F` are mid-points of `D C` and `AE` respectively. If area of ` A B C` is `16 c m^2,` find the area of ` D E F`

Explanation

As we know that D, E and F are the mid-points of BC, DC and AE respectively.

Let, AD is median of `triangle ABC`.

ar(`triangleADC`)=`1/2`ar(`triangleABC`)

ar(`triangleADC`)=`1/2xx16`=`8cm^2`

Now, AE is a median of `triangleADC`

ar(`triangleAED`) =`1/2xx`ar(`triangleADC`)

=`1/2xx8=4cm^2`

Again, DE is the median of `triangleAED`

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