[G] Question 1: Easy Geometry

Geometry Level 1

ABC is a right angle triangle with angle \(BAC = 90^\circ \).
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 \(\frac { a }{ b } \) where a and b are coprime integers.
Find a+b.

Tan Wee Kean by Tan Wee Kean
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