MathDB

2

Part of 2011 Albania Team Selection Test

Problems(1)

triangles with perimeter equal to area

Source: Albanian IMO 2011 TST

5/27/2011
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.
geometryperimetercalculusintegrationinradiustrigonometryalgorithm