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Four right triangles with distinct integer hypotenuses are put together to form a quadrilateral, as shown in image...

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Four right triangles with distinct integer hypotenuses are put together to form a quadrilateral, as shown in image.
What's the smallest possible perimeter of this quadrilateral?

enter image description here

Note: Legs of the triangles need not to be integers.

posted May 9, 2018 by Upma

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