equilateral triangle area

DanaJ: Site Admin; Posts: 2567; Joined: Thu Jan 01, 2009 10:05 am; Thanked: 712 times; Followed by:550 members; GMAT Score:770

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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Ossa: GMAT Instructor; Posts: 30; Joined: Sun Oct 26, 2008 5:42 pm; Thanked: 5 times

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
maximize your score, minimize your stress

www.testprepny.com
[email protected]

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