Question

The vertices of the triangle ABC are (2, 1) (4, 3) and (2, 5). D, E, F are the mid-points of the sides. The area of the triangle DEF is-

• A. 1
• B. 1.5
• C. 3
• D. 4

Answer 1

Answer: (A)

1

Answer 2

Area of DDEF = $\frac{1}{4}$ [Area of DABC]

DDEF = $\frac { 1 } { 4 }$ $\left\lbrack \frac{1}{2}\left\{ 2(3 - 5) + 4(5 - 1) + 2(1 - 3) \right\} \right\rbrack$

= 1