document.write( "Question 814194: determine dimensions of the rectangle of a greatest area that can be inscribed
\n" ); document.write( "in a semi-circle of radius 15m \n" ); document.write( "
Algebra.Com's Answer #490143 by TimothyLamb(4379)\"\" \"About 
You can put this solution on YOUR website!
the max area rectangle is actually a square.
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\n" ); document.write( "s = side of square
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\n" ); document.write( "basic geometry leads to a right triangle with:
\n" ); document.write( "hypotenuse (h) = r = 15
\n" ); document.write( "adjacent side = s/2
\n" ); document.write( "opposite side = s
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\n" ); document.write( "use pythagorean theorem:
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\n" ); document.write( "h = sqrt( s^2 + (s/2)^2 )
\n" ); document.write( "h = sqrt( ss + (s/2)(s/2) )
\n" ); document.write( "h = sqrt( ss + (ss/4) )
\n" ); document.write( "h = sqrt( (4ss/4) + (ss/4) )
\n" ); document.write( "h = sqrt( (5ss/4) )
\n" ); document.write( "h = sqrt(5)(s/2)
\n" ); document.write( "s = 2h/sqrt(5)
\n" ); document.write( "s = 30/sqrt(5)
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\n" ); document.write( "s = 13.416408 sq.m
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\n" ); document.write( "max area = 180 m
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\n" ); document.write( "Solve and graph linear equations:
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\n" ); document.write( "Solve quadratic equations, quadratic formula:
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\n" ); document.write( "Convert fractions, decimals, and percents:
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\n" ); document.write( "Calculate and graph the linear regression of any data set:
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