BMAD 62 Report post Posted March 6, 2014 Suppose you have a unit square and a equilateral triangle of the same area. A vertex of the triangle shares location with the center of the square. What is the maximum possible overlap? What is the minimum possible overlap? Share this post Link to post Share on other sites

0 bonanova 77 Report post Posted March 7, 2014 Extrema of areal overlap occur when median aligns with diagonal of square (max) or is perpendicular to edge of square (min). A_{max} = 1/4 (1 - tan 15^{o}) = 0.183012 ... A_{min} = 1/4 (tan 30^{o}) = 0.144337... Share this post Link to post Share on other sites

Suppose you have a unit square and a equilateral triangle of the same area. A vertex of the triangle shares location with the center of the square. What is the maximum possible overlap? What is the minimum possible overlap?

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