MathDB

2017 Guts #21: Maximum value of ratio in triangle

Source:

February 21, 2017

geometrynumber theory

Problem Statement

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}

[color = red]The official statement does not have the final period.

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