Section formula | Centroid of a triangle | Exercise 7.2 Examples

Q7, exercise- 2.1

Statement-1 : The points a(3,4), B(2,7) ,C(4,4) dn D(3,5) are such that are of them lies inside the triangle formed by other the points Statement-2 : Centroid of a triangle always lies inside the triangle

Prove that the centroid of any triangle is the same as the centroid of the triangle formed by joining the middle points of its sides

The coordinates of the centroid of a triangle and those of two of its vertices are respectively (2/3, 2), (2, 3), (-1, 2) . Find the area of the triangle.

Find the coordinates of the centroid of the triangle whose sides are 12x^2-20xy+7y^2=0 and 2x-3y+4=0

ABC is a triangle and AD is the median. If the coordinates of A are (4,7,-8) and the coordinates of centroid of triangle ABC are (1,1,1) what are the coordinates of D? (A) ((-1)/2,2,11) (B) ((-1)/2,-2,11/2) (C) (-1,2,11) (D) (-5,-11,19)

A (4,8), B(-2,6) are two vertices of a triangle ABC. Find the coordinates of C if the centroid of the triangle is (2,7).

If origin is the centroid of a triangle ABC having vertices A(a,1,3), B(-2,b,-5) and C(4,7, c) , then the values of a, b, c are

In the following figure G, is centroid of the triangles ABC. Prove that Area (Delta " AGB " )= (1)/(3) xx " Area " (Delta ABC)

Find the centroid of a triangle, mid points of whose sides are (1,2,-3), (3,0,1) and (-1,1,-4).