# [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.

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.

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