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Gmat Prep- triangles

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by kath_the_great4 » Mon Nov 10, 2008 4:21 pm
What is the greatest possible area of a triangular region with vertex at centre of circle and two other vertices on the circle? (radius of 1)

[spoiler]1/2[/spoiler]
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Re: Gmat Prep- triangles

by logitech » Mon Nov 10, 2008 4:35 pm
kath_the_great4 wrote:What is the greatest possible area of a triangular region with vertex at centre of circle and two other vertices on the circle? (radius of 1)

[spoiler]1/2[/spoiler]
It is a right triangle 1-1-sqrt2

So the area: (1x1)/2 = 1/2
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by niraj_a » Mon Nov 10, 2008 5:27 pm
hmmm, it would be isosceles thats for sure so height = 1.

yeah, the triangle should be equilateral because since the vertex is at the center, the diameter will divide the triangle in two haves having 90 degree angles at the bases. so base is 1 too.

(1*1) / 2 = 1/2
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