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WIN_20190125_13_50_08_Pro.jpg A rectangle is inscribed in an equilateral triangle of side length 2a. The maximum area of a rectangle can be

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A rectangle is inscribed in an equilateral triangle of side length 2a. The maximum area of a rectangle is:

\\BD_1=x\\BC_1=a-x\\BC=(a-x)\tan\frac{\pi}{3}=\sqrt3(a-x)\\area=(AB)\times(BC)=(2x)\sqrt3(a-x)

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