MathDB
no of integer triangles with sides among 50 and 100 (Chile NMO 2001 P1)

Source:

December 4, 2021
geometryperimetercombinatorial geometrycombinatorics

Problem Statement

\bullet In how many ways can triangles be formed whose sides are integers greater than 5050 and less than 100100? \bullet In how many of these triangles is the perimeter divisible by 33?