document.write( "Question 1207560: The sides of a right angled triangle are such that the sum of the length of the
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Algebra.Com's Answer #845512 by mccravyedwin(407)\"\" \"About 
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document.write( "The sides of a right angled triangle are such that the sum of the length of the\r\n" );
document.write( "longest and that of the shortest side is twice the length of remaining side, what\r\n" );
document.write( "is the length of the longest side of the triangle if the longer of the sides\r\n" );
document.write( "containing the right angle is 9 CM more than half the hypotenuse is??\r\n" );
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document.write( "Let the length of the hypotenuse (the longest side) be x.\r\n" );
document.write( "Let the length of the shortest side be y.\r\n" );
document.write( "Then the length of the remaining side is \"sqrt%28x%5E2-y%5E2%29\"\r\n" );
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document.write( "\"x%2By\"\"%22%22=%22%22\"\"2%2Asqrt%28x%5E2-y%5E2%29\"\r\n" );
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document.write( "\"x%2By\"\"%22%22=%22%22\"\"2%2Asqrt%28%28x-y%29%28x%2By%29%29\"\r\n" );
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document.write( "\"x%2By\"\"%22%22=%22%22\"\"2%2Asqrt%28x-y%29%2Asqrt%28x%2By%29%29\"\r\n" );
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document.write( "\"%28x%2By%29%2Fsqrt%28x%2By%29\"\"%22%22=%22%22\"\"2%2Asqrt%28x-y%29\" \r\n" );
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document.write( "\"sqrt%28x%2By%29\"\"%22%22=%22%22\"\"sqrt%284%29%2Asqrt%28x-y%29\" \r\n" );
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document.write( "\"sqrt%28x%2By%29\"\"%22%22=%22%22\"\"sqrt%284%28x-y%29%29\"\r\n" );
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document.write( "What's under the radicals must be equal\r\n" );
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document.write( "\"x%2By\"\"%22%22=%22%22\"\"4%28x-y%29\"\r\n" );
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document.write( "\"x%2By\"\"%22%22=%22%22\"\"4x-4y\"\r\n" );
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document.write( "\"5y\"\"%22%22=%22%22\"\"3x\"\r\n" );
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document.write( "So \"y\"\"%22%22=%22%22\"\"expr%283%2F5%29x\"\r\n" );
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document.write( "Now the sides of the right triangle are:\r\n" );
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document.write( "The length of the hypotenuse (the longest side) is x.\r\n" );
document.write( "The length of the shortest side is \"expr%283%2F5%29x\"\r\n" );
document.write( "Then the length of the remaining side is \r\n" );
document.write( "\"sqrt%28x%5E2-y%5E2%29\"\"%22%22=%22%22\"\"sqrt%28x%5E2-%28expr%283%2F5%29x%29%5E2%29\"\"%22%22=%22%22\"\"sqrt%28x%5E2-expr%289%2F25%29x%5E2%29\"\"%22%22=%22%22\"\"sqrt%28expr%2816%2F25%29x%5E2%29\"\"%22%22=%22%22\"\"expr%284%2F5%29x\"\r\n" );
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document.write( "Since the longer of the sides containing the right\r\n" );
document.write( "angle is 9 CM more than half the hypotenuse,\r\n" );
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document.write( "\"expr%284%2F5%29x\"\"%22%22=%22%22\"\"expr%281%2F2%29x%2B9\"\r\n" );
document.write( "\"8x\"\"%22%22=%22%22\"\"5x%2B90\"\r\n" );
document.write( "\"3x\"\"%22%22=%22%22\"\"90\"\r\n" );
document.write( "\"x\"\"%22%22=%22%22\"\"30\"\r\n" );
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document.write( "So the hypotenuse is 30 cm in length.\r\n" );
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document.write( "Edwin
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