min area of a triangle inscribed in a right angle
Source: VI Soros Olympiad 1990-00 R1 9.9 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
May 27, 2024
geometrygeometric inequalityright angle
Problem Statement
The center of a circle, the radius of which is , lies on the bisector of the right angle at a distance from its sides (). A tangent to the circle intersects the sides of the angle at points and . Find the smallest possible value of the area of triangle .