document.write( "Question 1056340: The three sides of a right triangle are proportional to
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Algebra.Com's Answer #671530 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "The three sides of a right triangle
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document.write( "That's the one on the right.\r\n" );
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\n" ); document.write( "are proportional to another right triangle
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document.write( "That's the one on the left.\r\n" );
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document.write( "The triangle on the right has sides whose lengths \r\n" );
document.write( "are some constant k times the lengths of the sides\r\n" );
document.write( "of the triangle on the left. \r\n" );
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\n" ); document.write( "Find the perimeter of the right triangle if
\n" ); document.write( "its area is 96 cm^2.
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document.write( "The formula for the area of a triangle is\r\n" );
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document.write( "\"Area\"\"%22%22=%22%22\"\"expr%281%2F2%29base%2Aheight\"\r\n" );
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document.write( "For the larger triangle on the right, the area\r\n" );
document.write( "is given as 96 cm², the base is 3k and the height\r\n" );
document.write( "is 4k, so we substitute:\r\n" );
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document.write( "\"96\"\"%22%22=%22%22\"\"expr%281%2F2%293k%2A4k\"\r\n" );
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document.write( "\"96\"\"%22%22=%22%22\"\"6k%5E2\"\r\n" );
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document.write( "\"18\"\"%22%22=%22%22\"\"k%5E2\"\r\n" );
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document.write( "\"sqrt%2818%29\"\"%22%22=%22%22\"\"k\"\r\n" );
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document.write( "\"sqrt%289%2A2%29\"\"%22%22=%22%22\"\"k\"\r\n" );
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document.write( "\"3sqrt%282%29\"\"%22%22=%22%22\"\"k\"\r\n" );
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document.write( "The perimeter is the sum of the three sides.\r\n" );
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document.write( "\"P\"\"%22%22=%22%22\"\"3k+%2B+4k+%2B+5k\"\r\n" );
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document.write( "\"P\"\"%22%22=%22%22\"\"12k\"\r\n" );
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document.write( "\"P\"\"%22%22=%22%22\"\"12%2A3sqrt%282%29\"\r\n" );
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document.write( "\"P\"\"%22%22=%22%22\"\"matrix%281%2C2%2C36sqrt%282%29%2Ccm%29\"\r\n" );
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document.write( "Edwin
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