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equilateral triangle area

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
Expert replies
Source: — Quantitative Reasoning |

by DanaJ » Tue Apr 14, 2009 12:51 pm
[sqrt(3)*a^2]/4, where a is the length of one side of a triangle.
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Re: equilateral triangle area

by Ossa » Wed Apr 15, 2009 1:04 pm
Hi,

The area of any triangle=1/2(base*height)

The equilateral traingle can be divided into two 30, 60, 90 triangles that have a base=x, height=x.SQRT(2) and the hypotenuse=2x. Where x=1/2 the side of the big triangle.
Accordingly the area=1/2 (side).(SQRT (2).side/2)=1/4 (side)^2 . SQRT(2)
Xbond wrote:Hi there,

How do you calculate the area of equilateral triangle
What is the formula ?
Ossa Elhadary, PhD, CISA, PMP
Math Specialist
Test Prep New York
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