MathDB
geometry and number theory

Source: Indonesia IMO 2010 TST, Stage 1, Test 5, Problem 1

November 12, 2009
geometryratiotrigonometryalgebrapolynomialinductionfunction

Problem Statement

Is there a triangle with angles in ratio of 1:2:4 1: 2: 4 and the length of its sides are integers with at least one of them is a prime number? Nanang Susyanto, Jogjakarta