MathDB
Find a relation between a and h_a

Source:

September 14, 2010
geometry proposedgeometry

Problem Statement

Given the side aa and the corresponding altitude hah_a of a triangle ABCABC, find a relation between aa and hah_a such that it is possible to construct, with straightedge and compass, triangle ABCABC such that the altitudes of ABCABC form a right triangle admitting hah_a as hypotenuse.