OSN 2004 Problem 7

Given triangle $ABC$ with $C$ a right angle, show that the diameter of the incenter is $a+b-c$ , where $a=BC$ , $b=CA$ , and $c=AB$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.