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 A 30-60-90 triangle is drawn on the exterior of an equilateral triangle

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A 30-60-90 triangle is drawn on the exterior of an equilateral triangle so the hypotenuse of the right triangle is one side of the equilateral triangle. If the shorter leg of the right triangle is 6 units, what is the area of the equilateral triangle?

 

 Nov 20, 2020

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avatar+128448 
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The hypotenuse  = 2 * ( side opp the 30°  angle )  = 2 (6)  = 12

 

Area of equilateral triangle =  (1/2) (12)^2 sqrt (3)  / 2 =   36sqrt 3  units^2

 

 

cool cool cool

 Nov 20, 2020

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