draw any triangle ABC and let D be the midpoint of AB. Using ruler and compasses draw the line through D parallel to BC to meet E. Measure DE , AE and EC . Do you find that AE = EC and DE =1/2BC? please answer to me urgently .
Given: ABC is a triangle. D be the mid-point of AB.
With the help of ruler and compass, draw the line through point D which is parallel to BC and meets at point E.
AS, its clear from the figure,
Acc. to the results of proportionality,
the line segment joining the mid-points of two sides of a triangle is parallel to and half the third side (BC).