MathDB
\Delta = nr^2, area and inradius of a triangle with integer sides

Source: Indian Postal Coaching 2008 set 1 p5

May 25, 2020
geometryinteger sidelengthsareainradius

Problem Statement

Prove that there are in finitely many positive integers nn such that Δ=nr2\Delta = nr^2, where Δ\Delta and rr are respectively the area and the inradius of a triangle with integer sides.