How to Inscribe a Square in a Triangle

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This Demonstration explains the steps involved in obtaining a square inscribed in a triangle using a particular side as its base. The same procedure applies to the other sides and so a triangle can have at most three inscribed squares. It is pointed out when a side of the triangle cannot be the base of an inscribed square.
Contributed by: Jaime Rangel-Mondragon (August 2011)
Open content licensed under CC BY-NC-SA
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"How to Inscribe a Square in a Triangle"
http://demonstrations.wolfram.com/HowToInscribeASquareInATriangle/
Wolfram Demonstrations Project
Published: August 3 2011