two vertices of a triangle are ( - 1 , 4 ) and (5 , 2) and medians intersect at - Maths - Coordinate Geometry

Question

two vertices of a triangle are ( - 1 , 4 ) and (5 , 2) and medians
intersect at (0, -3) find the third vertex

Rupak Bhattacharya · Accepted Answer

In a triangle centroid is the point where the three medians of the triangle intersect
let us consider the co ordinate of the third vertex is (x,y)then  co ordinate of centroid is -1+5+x3, 4+2+y3 =4+x3, 6+y3on the other hand  the centroid co ordinate is  (0, -3)therefore4+x3 =0x=-4and6+y3=-3y=-6-9 =-15so the co ordinate of the third vertex is (-4 , -15)

two vertices of a triangle are ( - 1 , 4 ) and (5 , 2) and medians intersect at (0, -3). find the third vertex