OMK 2018 Bongsu, Section B Problem 1
Source: OMK 2018 Bongsu, Section B Problem 1
June 20, 2021
Proofnumber theory
Problem Statement
Given two triangles with the same perimeter. Both triangles have integer side lengths. The first triangle is an equilateral triangle. The second triangle has a side with length 1 and a side with length . Prove that when is divided by 3, the remainder is 1.