document.write( "Question 1014185: A garden has the shape of a right triangle with one leg 7 meters longer than the other. The hypotenuse is 7 meters less than twice the length of the shorter leg. What is the length of the shorter leg? \n" ); document.write( "

Algebra.Com's Answer #630527 by ikleyn(52810) $\"\"$ $\"About$

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\n" ); document.write( "A garden has the shape of a right triangle with one leg 7 meters longer than the other. The hypotenuse is 7 meters less than twice the length of the shorter leg. What is the length of the shorter leg?
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document.write( "So, the legs are x and x+7, while the hypotenuse is 2x-7.\r\n" );
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document.write( "The Pythagorean equation is \r\n" );
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document.write( " = ,   or\r\n" );
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document.write( " = ,   or\r\n" );
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document.write( " = \r\n" );
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document.write( "with the only appropriate solution x = 21.\r\n" );
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document.write( "Check: 21^2 + (21+7)^2 = 21^2 + 28^2 = 1225;\r\n" );
document.write( "       (2*21 - 7)^2 = 35^2 = 1225.\r\n" );
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document.write( "Answer. The shorter leg is 21 meter.\r\n" );
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