# This should be easy! Right?

Geometry Level 5

$$\bigtriangleup ABC$$ is a triangle such that $$AC = 13$$ units,$$AB = 20$$ units and $$BC = 12$$ units. $$D$$ is a point on BC such that $$BD = DC$$. A square $$ADEF$$ is drawn with a side $$AD$$.

If the area of the triangle $$CDE$$ is equal to $$\dfrac GH \text{ unit}^2$$, where $$G$$ and $$H$$ are coprime positive integers, find $$G+H$$.

Try Part-2 and Part-3 also.

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