The Final Word in Triangle Appreciation

Published by patrick honner on

As has been previously noted, October has been a nice month for triangle appreciation.  Today, 10/19/10, offers us one more polygon to ponder.

Consider the 10-19-10 triangle.

10-19-10 triangle

It’s a fairly ordinary triangle, as triangles go.  It’s a little short compared to the other triangles we’ve looked at recently, but there’s nothing wrong with that.

What’s special about the 10-19-10 triangle is that it’s our last chance this month to enjoy triangularity.  Tomorrow, the Triangle Inequality steps in.  You can’t have a 10-20-10 triangle, because once the third side hits 20, you need all of the 10s to get from point A to point B.  There’s no wiggle room for the triangle’s interior.

10-20-10 Triangle

Although I must admit, I do find much to admire in this degenerate triangle.

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Categories: Geometry

patrick honner

Math teacher in Brooklyn, New York


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