MathDB
triangles with perimeter equal to area

Source: Albanian IMO 2011 TST

May 27, 2011
geometryperimetercalculusintegrationinradiustrigonometryalgorithm

Problem Statement

The area and the perimeter of the triangle with sides 10,8,610,8,6 are equal. Find all the triangles with integral sides whose area and perimeter are equal.