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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