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Omni-MATH / Let P and A denote the perimeter and area respectively of a right triangle with relatively prime integer side-lengths. Find the largest possible integral value of (P²)/(A).

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problem

Let PP and AA denote the perimeter and area respectively of a right triangle with relatively prime integer side-lengths. Find the largest possible integral value of P2A\frac{P^{2}}{A}.
Plain-text mathematical notation (without MathML)
Let P and A denote the perimeter and area respectively of a right triangle with relatively prime integer side-lengths. Find the largest possible integral value of (P²)/(A).
Original LaTeX notation
Let $P$ and $A$ denote the perimeter and area respectively of a right triangle with relatively prime integer side-lengths. Find the largest possible integral value of $\frac{P^{2}}{A}$.

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