Question #139711

What is centre of mass of triangle.

Expert's answer

If a triangle has vertices with coordinates:


A=(xA,yA)B=(xB,yB)C=(xC,yC)A = (x_A,y_A)\\ B = (x_B,y_B)\\ C = (x_C,y_C)

then the center of mass has the following coordinates:


O=(13(xA+xB+xC),13(yA+yB+yC)O = \left( \dfrac13(x_A+x_B+x_C), \dfrac13(y_A+y_B+y_C \right)

See the derivation and examples here: https://www.math-only-math.com/centroid-of-a-triangle.html


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