Let X be the midpoint of the side AB of triangle ABC. Let Y be the midpoint of CX. Let BY cut AC at Z. Prove that AZ=2ZC.

Let X be the midpoint of the side AB of triangle ABC. And Y be the mid point of CX. If Z is the point where BY meets the side AC, then AZ:ZC is equal to

Let ABCD be a parallelogram. Let X and Y be the midpoints of the sides BC and AD respectively. Let M and N be the midpoints of the sides AB and CD respectively. Consider the following statements : 1. The straight line MX cannot be parallel to YN. 2. The straight lines AC, BD, XY and MN meet at a point. Which of the above statements is/are correct?

P is any point on the side BC of a triangle ABC . P is joined to a. If D and E are the midpoints of the sides AB and AC respectively and M and N are the midpoints of BP and CP respectively then quadrilateral DENM is

In Delta ABC,E is the midpoint of the median AD.BE produced meets AC at F. Prove that AF=((1)/(3))AC

If D and E are respectively the midpoints of the sides AB and BC of triangle ABC in which AB = 7.2 cm, BC = 9.8 cm and AC = 3.6 cm then determine the length of DE.

Let ABC be a triangle, right-angled at B and D be the midpoint of AC. Show that DA = DB = DC.