Question

Prove that the triangle the line segment that joining the midpoint of any two sides parallel to third side base of the triangle

Answer 1

The task is to prove that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and half as long. (Or in vector notation PQ = AB / 2). It should be proved using some vector algebra but I am not sure how to go about doing it. A (crude) visualization (You have to make diagram yourself)