# The point G(1,4) is the centroid of the triangle and two of those vertices are B(9,-8) and C(-9,7).find area of the triangle ABC

1
Log in to add a comment

Log in to add a comment

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Vertex A = (x, y) ,

then centroid : 1 = (x+9+-9)/3 = x/3 => x = 3

4 = (y-8+7)/3 = => y = 13

Equation of side BC = y + 8 = (x-9) (7+8)/-9-9) = -5 (x-9)/6

6 y + 48 = - 5 x + 45

5 x + 6 y + 3 = 0

Perpendicular distance from A to BC =

then centroid : 1 = (x+9+-9)/3 = x/3 => x = 3

4 = (y-8+7)/3 = => y = 13

Equation of side BC = y + 8 = (x-9) (7+8)/-9-9) = -5 (x-9)/6

6 y + 48 = - 5 x + 45

5 x + 6 y + 3 = 0

Perpendicular distance from A to BC =