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Largest Square inside a Triangle

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This Demonstration displays the largest square contained in a triangle.

Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA

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You might like to have fun finding out (though not by using this Demonstration directly) the exact value of the side of the largest square inside: (1) an equilateral triangle with side length one; and (2) an isosceles right triangle with the equal legs of length one. (Hint: the latter is easier than the former.)

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