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Stuart@KaplanGMAT
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Just to elaborate, the area of a parallelogram is base * height.
We know that the height of the triangle is opposilte the 30 degree angle in the triangle, which means that it's the smallest of the 3 sides. Since a 30/60/90 triangle has an x/xroot3/2x ratio, and the hypotenuse is 4, we can say that 2x = 4, which means that x=2.
So, the height of the parallelogram is 2 and the base is 6.
We know that the height of the triangle is opposilte the 30 degree angle in the triangle, which means that it's the smallest of the 3 sides. Since a 30/60/90 triangle has an x/xroot3/2x ratio, and the hypotenuse is 4, we can say that 2x = 4, which means that x=2.
So, the height of the parallelogram is 2 and the base is 6.
Stuart Kovinsky | Kaplan GMAT Faculty | Toronto
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