Question

If the coordinates of the centroid of a triangle are (2/3,5/3) and the coordinates of two vertices of the triangle are (-1, 0) and (3, 0), then what are the coordinates of the third vertex of the triangle? Pls solve faste

Answer 1

Answer:

Centroid of a triangle with vertices (x1,y1);(x2,y2) and (x3,y3) is  calculated by the formula (3x1+x2+x3,3y1+y2+y3)

Let the third vertex of the triangle be (x,y)

So, centroid  =(3−7+8+x,36+5+y)=(1,3)

=(31+x,311+y)=(1,3)

=>1+x=3;11+y=9

x=2;y=−2

Hence the third vertex of the triangle is (2,−2)