Coordinate Geometry Question 146
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
Options:
A) 1
B) 1.5
C) 3
D) 4
Show Answer
Answer:
Correct Answer: A
Solution:
$ D(3,2),E(3,4),F(2,3) $ Area $ =\frac{1}{2} \begin{vmatrix} 3 & 2 & 1 \\ 3 & 4 & 1 \\ 2 & 3 & 1 \\ \end{vmatrix} $
$ =\frac{1}{2}[3(4-3)-2(3-2)+1(9-8)] $ = 1 sq. units.
BETA
