Geometry · Regular polygon · Square · Isosceles right triangle · Interior angles
A regular octagon is inscribed in a square of side length \(a\) so that four sides of the octagon lie on the four sides of the square. Express the side length of the octagon in terms of \(a\).
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), regijsko (regional) round 2015, 1. letnik, category A, problem B1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source