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MioMath 2024 Paper 1 · Q6

Paper 1Geometry

A square has side length 1. Find the largest possible area of an equilateral triangle inscribed in the square.

A23−34\dfrac{2\sqrt{3}-3}{4}
B34\dfrac{\sqrt{3}}{4}
C32\dfrac{\sqrt{3}}{2}
D23−32\sqrt{3}-3
E3−34\dfrac{3-\sqrt{3}}{4}
F1−341-\dfrac{\sqrt{3}}{4}

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