# Find the Area

Geometry Level 5

A point $$P$$ is chosen in the interior of $$\triangle ABC$$ so that liners are drawn through $$P$$ parallel to the sides of $$\triangle ABC$$, the resulting smaller triangles $$t_1$$, $$t_2$$, $$t_3$$ in $$\triangle ABC$$ have areas 4, 9 and 49, respectively. Find the area of $$\triangle ABC$$.

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