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Four equilateral triangles are constructed on the sides of a square with side length 1 as shown below. The four outer vertices are then joined to form a large square. Find the area of the large square.

 Sep 1, 2021
 #1
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https://web2.0calc.com/questions/help-pls_81

 Sep 1, 2021
 #2
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1 * cos 15 = x                  x= .965925

 

 side length = 2x 

area = 2x * 2x    =  3.732  units2

 

 Sep 1, 2021
 #3
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A = 1/2(1 + √3)2

 Sep 1, 2021

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