[G] Question 1: Easy Geometry

Geometry Level 1

ABC is a right angle triangle with angle BAC=90BAC = 90^\circ .
Let M and N be the midpoints of BA and BC respectively.
Let D be a point on MN extended such that CD//AB
The ratio of the area of quadrilateral AMDC to the area of triangle ABC is ab\frac { a }{ b } where a and b are coprime integers.
Find a+b.


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