Prove the following :
The centroid of a triangle coincides with that of the triangle formed by joining the middle points of its sides.

In a triangle ABC find the measures of all the angles of the traingle formed by joining the mid points of the sides of this triangle.

Prove that any line segment drawn from the vertex of a trianlge to the base is bisected by the line segment joining the mid points of the other sides of the triangle.

Restate the following statement with appropriate conditions, so that they become true statement: A line joining two mid-points on two sides of a triangle is parallel to the third side.

There are 10 points in a plane, out of these 6 are collinear. The number of triangles formed by joining these points, is

Prove that the difference of any two sides of a triangle is less than the third side.

Prove that the difference of any two sides of a triangle is less than the third side.

Answer the following If a, b, c are three sides of a triangle, then write three conditions of a triangle to be formed.

If G is the centroid of triangle ABC , prove that area triangle AGB = 1/3 area triangle ABC .