centroid Geometry Problems

Find the centroid of a triangle whose vertices are formed by (2, 7),(3, -1),(-5, 6)

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Problem: How to find the centroid of a triangle whose vertices are formed by (2, 7),(3, -1),(-5, 6)

(2,7),(3,-1),(-5,6)\,

Solutions:

The formula for finding the centroid or median of a triangle whose vertices are
(x_1,y_1),(x_2,y_2),(x_3,y_3)\, is \left(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3}\right)\,
Applying the formula, we get

\left(\frac{2+3-5}{3},\frac{7-1+6}{3}\right)\,
\left (0,4\right)\,
Therefore, the centroid of the triangle formed is at P(0, 4).

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