Question

find the equation
of the lines of triangle whose vertices are (-4,6) (3,6) and (4,-6)​

Answer 1

Step-by-step explanation:

Let A(4,2),B(6,5) and C(1,4) be the vertices of ΔABC.

(i) The median from A meets BC at D. Find the coordinates of the point D.

(ii) Find the coordinates of the point P on AD such that AP:PD=2:1

(iii) Find the coordinates of points Q and R on medians BE and CF respectively such that BQ:QE=2:1 and CR:RF=2:1.

(iv) What do yo observe?

[Note : The point which is common to all the three medians is called the centroid and this point divides each median in the ratio 2:1.]

(v) If A(x

1

,y

1

),B(x

2

,y

2

) and C(x

3

,y

3

) are the vertices of ΔABC, find the coordinates of the centroid of the triangle.