document.write( "Question 1147594: The hypotenuse of a right triangle is 4 times one of the legs. The other leg is 3√15 units. Find the length of the hypotenuse.
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Algebra.Com's Answer #768940 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let \"x\" be the length of the \"one leg\".\r\n" );
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document.write( "Then the hypotenuse is 4x units long.\r\n" );
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document.write( "Pythagorean theorem gives you an equation\r\n" );
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document.write( "     -  = ,\r\n" );
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document.write( "or\r\n" );
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document.write( "           = 9*15,\r\n" );
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document.write( "             = 9\r\n" );
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document.write( "     x          =  = 3.    \r\n" );
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document.write( "So, \"one leg\"  is 3 units long.\r\n" );
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document.write( "Then the hypotenuse is  3*4 = 12 units long.    ANSWER\r\n" );
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