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Area of an equilateral triangle

Problem Solving — algebra and arithmetic
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Source: — Quantitative Reasoning |
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by Bryant@VeritasPrep » Mon Aug 10, 2009 5:20 pm
the height of an equilateral triangle is equal to the sin(Angle)times B where B is the length of one of its sides. Since equilateral triangle has all three angles of 60 degrees, you can take the height divided by Sin (60) to get the base length, then employ the traditional 1/2 b times h to get area. hope this helps.
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by vani_13in » Mon Aug 10, 2009 5:47 pm
Thanks alot!. It really helped
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by knightwalker » Mon Aug 31, 2009 6:43 am
If you want a shortcut for when you have only the side of an equilateral triangle, the height is always ((sq.root3)/2)*s where s is the side of the triangle and thus the area is always ((sq.root3)/4)*s^2
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Re: Area of an equilateral triangle

by chetanojha » Mon Aug 31, 2009 7:35 am
vani_13in wrote:How do I find area of an equilateral triangle if I know the height ?

V
An equilateral triangle can be split into two 30-60-90 triangle which have relationship of 1:sqrt(3):2. If you know any one side...you can find all the remaining sides and hence area.
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by grockit_jake » Mon Aug 31, 2009 9:03 am
If you don't know the height, but rather just a SIDE, you can use the formula:

Area = s^2 * sqrt(3)/4
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