Question

If points (4,3) is the centroid of the triangle abc and vertices are a(x,y), b(-3,7) and c(9,7). Find the area of the triangle.

Answer 1

Step-by-step explanation:

centriod of triangle is (4,3)

by centriod formula

x=x1+x2+x3/3

4=x1+(-3)+9/3

4=x1+(-1)+9

4-9=x1-1

-5+1=x1

-4=x1

y= y1+y2+y3/3

3=y1+7+7/3

3=y1+14/3

3*3=y1+14

9-14=y1

-5 =y1

(x, y) =(-4,-5)