Question

if vertices of triangle ABC have the coordinates A(1,0),B(3,4) and C(4,5).If G s the centroid of the triangle ABC,then find the length of AG.​

Answer 1

Step-by-step explanation:

Let the Median be CD

Point of D is (x,y)

Now,

x=

2

−3−1

,x=−2 and y=

2

6−9

=−

2

3

Slope of CD is,

=

5+2

8−

2

3

=

14

13

Equation:

CD=y+8=

14

13

(x−5)

So the equation of Median,

13x−14y−47=0