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).

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