Geometry · Right triangle · Circumcircle · Midpoint of hypotenuse · Altitude · Angle chase
In the right triangle \(ABC\) the right angle is at the vertex \(C\). Let \(S\) be the midpoint of the side \(AB\), and let \(V\) be the point where the altitude dropped from \(C\) meets \(AB\). Determine all three angles of the triangle \(ABC\), given that \(|SV| = 1\) and \(|SC| = 2\).
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2002, 1. letnik, category A, problem 1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source