question_answer

For a triangle ABC, D, E, F are the mid-points of its sides. If\[\Delta ABC=24\,\,sq.\]units then\[\Delta DEF\]

A)  4 sq. units                    

B)  6 sq. units  

C)  8 sq. units        

D)         12 sq. units

Correct Answer: B

Solution :

            \[\Delta DEF=\frac{1}{4}\Delta ABC\]             \[=\frac{1}{4}\times 24=6\,\,\text{sq}\text{.}\,\,\text{units}\]