document.write( "Question 1144509: The sum of the base and the height of a triangle is 18 cm. Find the dimensions for which the area is a maximum.
\n" ); document.write( "The triangle with maximum area has a height of ___cm and a base of
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Algebra.Com's Answer #765659 by josgarithmetic(39617)\"\" \"About 
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x, base
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\n" ); document.write( "A, area\r
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\n" ); document.write( "\n" ); document.write( "\"system%28A=%281%2F2%29xy%2Cx%2By=18%29\"\r
\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29x%2818-x%29\"
\n" ); document.write( "The maximum occurs at the vertex, which is exactly in the middle of the two zeros of A.\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29x%2818-x%29=0\"
\n" ); document.write( "\"zeros\"\"at\"\"0\"\"and\"\"18\";
\n" ); document.write( "A is maximum at x=9 and y=9.
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