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Senior Manager
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ps:circle [#permalink] New post 26 May 2006, 08:38
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What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius 1 and the other two vertices on the circle?

1, sqr(3)/4
2, 0.5
3, pi/4
4,1
5, sqr(2)

Please explain your answers.
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 [#permalink] New post 26 May 2006, 08:44
The max are would be when it is a right angle triangle.
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 [#permalink] New post 26 May 2006, 09:18
macca wrote:
how do you know that?


Area = 1/2*Base*height

So in order to maximize the area we should attempt to choose the highest possible values for base and height.
In a right triangle, Base=1 and Height=1.
  [#permalink] 26 May 2006, 09:18
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