ABC is an acute angle triangle of area 1 sq unit, D, E, F are the feet of perpendiculars from the centroid to AB, BC, CA, then the area of DEF can not be

 

a) 6/25

b) 1/2

c) 23/100

d) 1/4

hiiiii

 

Well the answer is (b)

 

In a equilateral triangle with unit area ..

 

the area of the triangle DEF is 1/4 ..

 

so the area in general shud be close to 1/4 only ... it cannot be half in any case ..

 

cheers