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Question -

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.



Answer -

Given: Here from thegiven question we get

(1) ABC is a triangle

(2) D is the midpoint ofBC

(3) E is the midpoint ofCD

(4) F is the midpoint ofA

Area of ÄABC = 16 cm2

To find : Area of ΔDEF

Calculation: We know that ,

The median divides a triangle in two triangles of equal area.

For ΔABC, AD is themedian

For ΔADC , AE is themedian .

Similarly, For ΔAED , DFis the median .

Hence we get Areaof ÄDEF = 

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