Point where three medians of a triangle meet.

Let 'm' be the sum of lengths of the three medians of a triangle whose perimeter is unity,then the value of [4m] ,can't be (where [•] denotes the greatest integer function)

The length of three medians of a triangle are 9cm,12cm and 15cm. The area (in sq.cm) of the triangle is

The length of three medians of a triangle are 9 cm, 12 cm and 15 cm. The area (in sq. cm) of the triangle is

Consider the following statements in respect of any triangle I. The three medians of a triangle divide it into six triangles of equal area. II. The perimeter of a triangle is greater than the sum of the lengths of its three medians. Which of the statements given above is/are correct ?

The point of concurrence of medians of a triangle is called centroid.