# Solving For Sides I

Algebra Level 3

The equation

$(x-5)(x-12)(x-13)=30$

has three real solutions, $$r_1,$$ $$r_2,$$ and $$r_3.$$ If a triangle with sides of $$r_1,$$ $$r_2,$$ and $$r_3$$ has area $$A,$$ give $$A^2.$$

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