Construction of a right triangle
Source: Czech and Slovak Olympiad 1965, National Round, Problem 2
June 24, 2024
ratiogeometrygeometric constructionright triangleconstruction
Problem Statement
Line segment is given in the plane. Furthermore, a positive number is given. Construct a right triangle with hypotenuse , altitude to the hypotenuse of the length and the leg being divided by in ration . Discuss conditions of solvability in terms of .