Question

Find the co-ordinates of centriod of triangle it vertices of triangle
A(-7,6) B(2,-2) C(8, 5)
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Answer 1

Answer:

Co-ordinate of centroid =

[(-7+2+8)/2 , (6-2+5)/3]

= (3/2 , 3) ans.

Answer 2

Given ,

The vertices of triangle are A(-7,6) B(2,-2) and C(8,5)

We know that , the centroid of triangle is given by

$\boxed{ \tt{x = \frac{ x_{1} + x_{2} + x_{3}}{3} \: \:, \: \: y= \frac{ y_{1} + y_{2} + y_{3}}{3} }}$

Thus ,

$\tt \implies x = \frac{ - 7 + 2 + 8}{3} \: \: , \: \: y = \frac{6 + ( - 2) + 5}{3}$

$\tt \implies x = \frac{3}{3} \: \: , \: \: y = \frac{9}{3}$

$\tt \implies x = 1 \: \: , \: \: y = 3$

Therefore , the coordinate of centroid of triangle is (1 , 3)

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