sidelengths (a + b + c) (a + b -c) = 2b^2 and a is the largest possible side
Source: 2010 (-11) Swedish Mathematical Competition p5
September 1, 2020
anglesgeometrysidelengths
Problem Statement
Consider the number of triangles where the side lengths satisfy .
Determine the angles in the triangle for which the angle opposite to the side with the length is as big as possible.