document.write( "Question 243274: the hypotenuse of a right triangle is 24 feet long. the lenght of one leg is 14 feet more than the other what is its length \n" ); document.write( "
Algebra.Com's Answer #178227 by Edwin McCravy(20055)\"\" \"About 
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the hypotenuse of a right triangle is 24 feet long. the lenght of one leg is 14 feet more than the other what is its length.
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document.write( "hypotenuse = c = 24\r\n" );
document.write( "other leg = x \r\n" );
document.write( "one leg = x+14\r\n" );
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document.write( "\"c%5E2=a%5E2%2Bb%5E2\"\r\n" );
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document.write( "\"24%5E2=x%5E2+%2B+%28x%2B14%29%5E2\"\r\n" );
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document.write( "\"576=x%5E2%2B%28x%5E2%2B28x%2B196%29\"\r\n" );
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document.write( "\"+576+=x%5E2+%2B+x%5E2+%2B+28x+%2B+196+\"\r\n" );
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document.write( "\"576=2x%5E2%2B28x%2B196\"\r\n" );
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document.write( "Get 0 on the left:\r\n" );
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document.write( "\"0=2x%5E2%2B28x-380\"\r\n" );
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document.write( "Switch sides:\r\n" );
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document.write( "\"2x%5E2%2B28x-380=0\"\r\n" );
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document.write( "Divide through by 2\r\n" );
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document.write( "\"x%5E2%2B14x-190\"\r\n" );
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document.write( "So we use the quadratic formula:\r\n" );
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document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r\n" );
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document.write( "with a = 1 , \"b=14\", \"c=-190\"\r\n" );
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document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r\n" );
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document.write( "\"x+=+%28-14+%2B-+sqrt%28196%2B760%29+%29%2F2+\"\r\n" );
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document.write( "\"x+=+%28-14+%2B-+sqrt%28956%29+%29%2F2+\"\r\n" );
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document.write( "\"x+=+%28-14+%2B-+sqrt%284%2A239%29+%29%29%2F2+\"\r\n" );
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document.write( "\"x+=+%28-14+%2B-+2sqrt%28239%29+%29%29%2F2+\"\r\n" );
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document.write( "Make two fractions:\r\n" );
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document.write( "\"x+=+-14%2F2+%2B-+2sqrt%28239%29%2F2++\"\r\n" );
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document.write( "\"x=-7+%2B-+sqrt%28239%29\"\r\n" );
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document.write( "Only the plus sign gives a positive answer.\r\n" );
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document.write( "Answer: \"-7+%2B+sqrt%28239%29\" or about 8.459624834 feet\r\n" );
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document.write( "Edwin
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