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In the figure below, the shaded region is a square of area 3, and △ABC is equilateral. What is the perimeter of △ABC?
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|dw:1350959745371:dw|
You made two 30-60-90 triangles, meaning that the ratio of the height of the square to the little side length left in the corner is √3 : 1
So the length of the bottom of the square plus the two little side lengths in the corners is...
sorry i have bad reading comprehension... can you draw it out?
|dw:1350960099742:dw| And all 30-60-90 triangles have ratios of side lengths of 1:2:√3
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