MathDB
right triangle with integer sides and equal values of perimeter and area

Source: 2005 Indonedia MO Province P2 q4 OSP

December 11, 2020
geometryperimeterareaIntegers

Problem Statement

The lengths of the three sides a,b,ca, b, c with abca \le b \le c, of a right triangle is an integer. Find all the sequences (a,b,c)(a, b, c) so that the values of perimeter and area of the triangle are the same.