Geometry · Right triangle · Similar triangles · Distance from point to line · Pythagorean theorem
In the right triangle \(ABC\) the right angle is at \(C\), and \(|AC| = 4\), \(|BC| = 8\). A point \(D\) is taken on the side \(BC\) so that \(|CD| = 5\). How far is \(D\) from the side \(AB\)?
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2006, 1. letnik, category A, problem 3. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source