Question

ABC is a triangle and G(4,3) is its centroid. If A(1,3),B(4,b) and C(a,1) be the vertics, find the values of a and b and hence find the length of side BC

Answer 1

as you know, G = [(x1+x2+x3)/3],[y1+y2+y3)/3]
4 = (1+4+a)/3
5+a = 12
a = 7

3 = (3+b+1)/3
4+b = 9
b = 5