MathDB

81

Part of 1985 IMO Longlists

Problems(1)

Find a relation between a and h_a

Source:

9/14/2010
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.
geometry proposedgeometry