Bosnia and Herzegovina JBMO TST 2009 Problem 1
Source: Bosnia and Herzegovina Junior Balkan Mathematical Olympiad TST 2009
September 17, 2018
geometryareaaltitudesnumber theory
Problem Statement
Lengths of sides of triangle are positive integers, and smallest side is equal to . Determine the area of triangle if , where , and are lengths of altitudes in triangle from vertices , and , respectively.