The analysis shows a solution exists for convex bodies, indicating improved bounds in geometric area containment.
In 1985, Linderholm posed the following problem: does every convex body K in the plane admit a right-angled triangle T that contains K and whose area is at most twice that of K ? Assuming that K has constant width, we prove that such a triangle T exists with area at most 2.07016 times the area of K .
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Christoph Thäle (2025) studied this question.
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