MathDB
Estimating Area

Source: KG National 2009

April 23, 2009
geometry

Problem Statement

a,b,c a,b,c are sides of triangle ABC ABC. For any choosen triple from (a \plus{} 1,b,c),(a,b \plus{} 1,c),(a,b,c \plus{} 1) there exist a triangle which sides are choosen triple. Find all possible values of area which triangle ABC ABC can take.