Using Basic proportionality theorem, prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX).
"A line from midpoint of one side of a triangle, parallel to second side bisects the third side." is the statement of:
State and prove the converse of the following theorem. “If a line divides any two sides of a triangle in the same ratio it must be parallel to the third side”. Using the result, prove the following:
"A line drawn from the midpoint of a non-parallel side of a trapezium, parallel to the parallel sides, bisects the other non-parallel side.