Question

ABC IS A TRIANGLE IN WHICH AB=AC.D IS ANY POINT ON THE SIDE AB.THROUGH D,A LINE IS DRAWN PARALELL TO BC INTERSECTING AC AT E.
PROVE THAT AD=AE

Answer 1

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solution ;

Given: AB=AC and D is a point on AB through D a line is drawn parallel to BC and meeting AC at E .

To prove: AD=AE

Using theorem the line drawn through the midpoint of one side of a triangle parallel to another side bisect the third side....……............………............(1)

E is the mid point of A.

AB=AC. (given)

1/2 AB=1/2 AC

AD=AE (they both are medians of AB and AC respectively)