21

Part of 2017 Harvard-MIT Mathematics Tournament

Problems(1)

2017 Guts #21: Maximum value of ratio in triangle

Source:

P

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.

geometrynumber theory