MathDB
Problem 3

Source: Paraguayan Mathematical Olympiad 2012

October 15, 2012
geometry proposedgeometry

Problem Statement

Let ABCABC be a triangle (right in BB) inscribed in a semi-circumference of diameter AC=10AC=10. Determine the distance of the vertice BB to the side ACAC if the median corresponding to the hypotenuse is the geometric mean of the sides of the triangle.