Question

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

Answer 1

Answer:

Step-by-step explanation:

Co-ordination of point

A(5,8)

B(0,-1)

C(4,5)

Formula of medium,

X=1x+2x+3x/3,,,,

Y=1y+2y+3y/3.

.........

.......

.....

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To,solving

Ans.

G(3,4)

Answer 2

Answer:

G is the centroid of the triangle since it divides the median in the ratio of 2:1.

∴   centroid of a triangle = (x1 + x2 + x3/3 , y1 +y2 + y3 /3)

                                         = (5 + 0 + 4/3 , 8 -1 + 5/3)

                                          = ( 3 , 4 )