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Standard X
Mathematics
Centroid Formula
Question

If G is the centroid of the triangle with vertices A(-1,6), B(7,1) and C(3,5) then the area of triangle GAB is
  1. 2
  2. 3
  3. 4
  4. 5

A
4
B
2
C
5
D
3
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Solution
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The correct option is A 2
G = =(−1+7+33,6+1+53)=(3,4)
∴ Area of ΔGAB=12[3(6−1)−1(1−4)+7(4−6)]=2

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