Question

A(5,8),B(0,-1) and C(4,5) are the vertices of traingle ABC.AD is the median and G is a on AD such that AG:GD=2:1.Find the co ordinate of the point G​

Answer 1

this question is very important by exam point of view....

Answer 2

The coordinate of point G is (3,4)

1.given

2.AD is the median and G is on AD such that AG:GD=2:1

midpointof B and C is point D (median property)

3.point D≡(0+4/2,5-1/2)

≡ (2,2)

Point G≡((2*2+5*1)/3,(2*2+8*1)/3)

≡ (3,4)