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

A point taken on each median of a triangle divides the median in the ratio 1:3 reckoning from the vertex.Then the ratio of the area of the triangle with vertices at these points to that of the original triangle is:

A point taken on each median of a triangle divides the median in the ratio 1 : 3, reckoning from the vertex. Then the ratio of the area of the triangle with vertices at these points to that of the original triangle is

Centroid divides each median in ratio 2:1

The median of a triangle divides it into two

Read the statemenst carefully and state 'T' for true and 'F' for false . 1. If a line divides any two sides of a triangle in the same ratio , then the line is parallel to the third side of the triangle . 2 . The internal bisector of an angle of a triangle divides the opposite side inernally in the ratio of the sides containing the angle . 3 . If a line through one vertex of a triangle divides the opposite in the ratio of other two sides , then the line bisects the angle at the vertex . 4.Any line parallel to the parallel sides dividesproportionally . 5. Two times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians of the triangle .

Assertion (A): If (-1,3,2) and (5,3,2) are respectively the orthocentre and circumcentre of a triangle, then (3,3,2) is its centroid. Reason (R): Centroid of a triangle divides the line segment joining the orthocentre and the circumcentre in the ratio 1:2 ,

If a line through one vertex of a triangle divides the opposite sides in the Ratio of other two sides; then the line bisects the angle at the vertex.

If the median AD of triangle ABC divides the angle BAC in the ratio 1:2, then show that (sin B)/(sin C)=(1)/(2)sec((A)/(3))

Centroid divides the median from the vertex in the ratio_____