If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ? AB

Question

If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ? ABC and the area of ? ABC = 36m 2. Then area of ? DEF is?

Options:

A . 18 cm2

B . 9 cm 2

C . 12 cm 2

D . 19 cm2

Answer: Option B

Area of a triangle formed by joining the mid point of the sides of the triangle is 1/4th of area of the original triangle .So area of ? DEF = 36/ 4 = 9 m2

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