# A geometry problem by Rudresh Tomar

Geometry Level 3

In the figure above, two brown lines are perpendicular to each other and they intersect at the point $$G$$.

Two circles are drawn such that they are tangential to these two lines at $$F,H,E$$ and $$D$$.

If $$\overline{BC} = \sqrt{50}$$, find $$\overline{AB} \times \overline{AC}$$.

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