Two vertices of a triangle are ( 3 , 2) , ( - 2 , 1) and its centroid is `((5)/(3),-(1)/(3))` . Find the third vertex of the triangle .

Two vertice of a triangle are (3,-2) and (-6,1). Then its third vertexis

Two vertices of a triangle are (3 , 5) and ( - 4 , -5) . If the centroid of the triangle is (4 , 3), find the third vertex.

Two vertices of a triangle are (5, -1) and (-2, 3). If the centroid of the triangle is the origin, then the third vertex is

Two vertices of a triangle are (5,-1) and (-2,3). If the orthocentre of the triangle is the origin, find the third vertex.

A : If the midpoints of the sides of a triangle are (1, 0), (0, 1), (1, 1) then the centroid is (2//3, 1) . R : Centroid of the triangle is same as centroid of triangle formed by their midpoints.

If a triangle ABC with two vertices A(5, 4, 6) and B(1, -1, 3) has its centroid at ((10)/(3), 2, (11)/(3)) then the third vertex C is

If two sides of triangle are given by x^(2)-xy-6y^(2)=0 and the centroid is ((11)/(3),-1) then equation of third side is

The centroid of a triangle is (2, 3) and two of its vertices are (5, 6) and (-1, 4). The third vertex of the triangle is

Two sides of a triangle are 2x-y=0 and x+y=3 . If its centroid is (2,3) then, prove its third is 5x-y-9=0