ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AE respectively. If area of ΔABC is 16 cm2, find the area of ΔDEF.
Given that,
D, E, F are the mid-points of BC, DC, AE respectively
Let, AD is median of triangle ABC
Area (
=
Area (![]()
=
* 16
= 8 cm2
Now, AE is a median of ![]()
Area (
=
Area (![]()
=
* 8
= 4 cm2
Again,
DE is the median of ![]()
Area (
F) =
Area (![]()
=
* 4
= 2 cm2
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