Question

Calculate the coordinate of the centroid of the triangle ABC if A (7,-2) b(0,1) c (-1 4)

Answer 1

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coordinate of triangle :

A(7,-2),B(0,1),C(-1,4)

$centroid(x) = \frac{x1 + x2 + x3}{3} \\ \\ = > \frac{7 + 0 + ( - 1)}{3} = > \frac{6}{3} = 2$

&

$coordinate(y) = \frac{ y1 + y2 + y3}{3} \\ \\ = > \frac{ - 2 + 1 + 4}{3} = > \frac{3}{3} = > 1$

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Answer 2

$\bold{Answer :}$

We know that if (x₁, y₁), (x₂, y₂) and (x₃, y₃) be the vertices of a triangle, then its the co-ordinates of its centroid be
( (x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3 )

In this problem, the points are A (7, - 2), B (0, 1) and C (- 1, 4) the vertices of the triangle ABC.

Then its centroid be at

( (7 + 0 - 1)/3, (- 2 + 1 + 4)/3 )

i.e., (6/3, 3/3)

i.e., (2, 1)

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