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Expert replies
Source: — Problem Solving |

by jayhawk2001 » Tue Nov 06, 2007 3:13 pm
For greatest possible area, triangle should be an isosceles rt angled
triangle. So, you will have 1 vertex at center and 2 on circle.

Area = 1/2 * b * h = 1/2
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by aninditasivaram2406 » Sun Nov 11, 2007 9:48 am
Hi,

Please can you expand on the explanation?

Thanks,
Anindita
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by jayhawk2001 » Sun Nov 11, 2007 9:36 pm
aninditasivaram2406 wrote:Hi,

Please can you expand on the explanation?

Thanks,
Anindita
Area of triangle = 1/2 * a * b * sin (x), where

a and b are sides
x is the angle between sides a and b

Max value of sin (x) = 1 and this happens when x is 90 degrees.
So, an isosceles rt angled triangle is the one that has max area

I wish I could explain this without trigonometry...
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