Question: If the vertices of a triangle be $(a,b - c),(b,c - a)$ and $(c,a - b)$, then the centroid of the...

Question

If the vertices of a triangle be $(a,b - c),(b,c - a)$ and $(c,a - b)$ , then the centroid of the triangle lies.

Answer 1

$x = \frac { a + b + c } { 3 } , y = \frac { b - c + c - a + a - b } { 3 } = 0$

Hence, centroid lies on x-axis.

Question: If the vertices of a triangle be \((a,b - c),(b,c - a)\) and \((c,a - b)\), then the centroid of the...