Question

if two vertices of a triangle (4,-3)(-9,7)centroid is (1,4) then find third vertex and area of a triangle?

Answer 1

hope it helps..... please mark brainliest

Answer 2

Answer:

( 8, 8 )

Step-by-step explanation:

Let (x, y) be the coordinates of the third vertex.

The important thing here is that the centroid is the mean of the vertices.  So if the vertices are A, B, C, then the centroid G is at G = ( A + B + C ) / 3.

To get rid of the division, this is the same as 3G = A + B + C.

So here we have

3 × ( 1, 4 ) = ( 4, -3 )  +  ( -9, 7 )  +  ( x, y )

=> ( x, y ) = ( 3, 12 ) - ( 4, -3 ) - ( -9, 7 )

=> ( x, y ) = ( 3 - 4 + 9,  12 + 3 - 7 )

=> ( x, y ) = ( 8, 8 )