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PR Question

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by f2001290 » Mon May 07, 2007 6:27 am
Please Explain the attached question.

How can we determine that a right angles triangle has the maximim area.
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Re: PR Question

by jayhawk2001 » Mon May 07, 2007 6:05 pm
f2001290 wrote:Please Explain the attached question.

How can we determine that a right angles triangle has the maximim area.
Hmm, not sure how we can explain this without involving trigonometry

If triangle has sides a and b and x is the angle between the 2 sides,
the area is given by

A = 1/2*ab*sin(x)

Now, area is maximum when sin(x) is max. sin(x) is max when x = 90
degress.

So, it has to be a right angle triangle.

So, 3rd side is sqrt(25+64) = sqrt(89)
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