In the figure below, the shaded region is a square of area 3, and △ABC is equilateral. What is the perimeter of △ABC?

Question

geerky42 · Answer

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anonymous · Answer

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

anonymous · Answer

So the length of the bottom of the square plus the two little side lengths in the corners is...

geerky42 · Answer

sorry i have bad reading comprehension... can you draw it out?

anonymous · Answer

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And all 30-60-90 triangles have ratios of side lengths of 1:2:√3