Question

Find the third vertex of a triangle, if two of its vertices are at (-3, 1) and (0, -2) and the centroid is at the origin.
stap by stap solution please​

Answer 1

Answer:

Let,

A = ( -3, 1 ) x1 = -3 , y1 =1

B = ( 0, -2) x2 = 0 , y2 = -2

C = ( 0, 0 ) at origin x3 = 0, y3 =0

*Solution*

formula of centroid

( x, y ) = ( x1 + x2 + x3 , y1 + y2 + y3 )

3 3

( x, y ) = ( -3 + 0 + 0 , 1 + -2 +0 )

3 3

( x, y ) = ( -3 , -1 )

3 3

( x, y ) = ( -1 , -1 ) ( answer)

3