(i)Centroid of a triangle (ii) Length of Median

Centroid of triangle

Centroid of a triangle divides its median in the ratio of 1:2 from the vertex.

If A(5,-1),B(-3,-2) and (-1,8) are the vertices of triangle ABC,find the length of median through A and the coordinates of the centroid.

O is the centroid of triangle ABC . The medians AD and BE intersect at right angles. If the lenghts of AD and BE are 9 cm and 12 cm respectively : then the length of AB (in cm) is

In an equilateral triangle, the lengths of the median is sqrt3 cm, then find the length of the side of this equilateral triangle

(0,0) is the centre of the circle passing through the vertices of an equilateral triangle. If the length of the median of the triangle is 9 units then equation of the circle is

The centroid of a triangle ABC is 8 cm from the vertex A. What is the length of the median of the triangle through A ?

The length of hypotenuse of a right angled triangle is 18 cm . Find the length of median of its hypotenuse.

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is