Question

In ∆ABC (see figure), E is the mid-point of the median AD. If area of the triangle ABC is 184 sq. units, find area of ∆DEC.

Answer 1

Since AD is the median of ∆ABC 

ar (∆ADC) = 1/2 ar (∆ABC) 

= 1/2 x 184 = 92 sq. unit. 

Again E is the mid-point of side AD. 

CE divides AADC into two parts equal in area. 

area ∆DEC = 1/2(ar ∆ADC) 

= 1/2 x 92 = 46 sq. unit.