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Mathematics 10 Online
geerky42 (geerky42):

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

geerky42 (geerky42):

|dw:1350959745371:dw|

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

geerky42 (geerky42):

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

OpenStudy (anonymous):

|dw:1350960099742:dw| And all 30-60-90 triangles have ratios of side lengths of 1:2:√3

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