The midpoints of the sides of a triangle are D(1,1), E(2,3) and F(4,1). The medial triangle DEF has area one-fourth of the original. Find the area of triangle DEF.
Class 10Area of a Triangle (Coordinates)Geometry — Coordinates
A3
B6
C2
D4
Step-by-Step Solution
Area of DEF = 21∣1(3−1)+2(1−1)+4(1−3)∣=21∣2+0−8∣=21(6) = 3 sq units.
Answer: A) 3
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