# Cut-The-Knot Action 18!

Creation of this applet was inspired by a tweet from Alexander Bogomolny.
Shown below is a .
Suppose a

**rectangular hyperbola**.**A rectangular hyperbola is one whose semimajor and semiminor axes are equal.**Thus, its eccentricity**triangle**has 3 vertices that lie on such a**hyperbola**. How can we prove its**orthocenter**always lies on this**hyperbola**as well?## Quick (Silent) Demo

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