document.write( "Question 1138821: A goat enclosure is in the shape of a right triangle. One leg of the enclosure is built against the side of the barn. The other leg is 4 feet more than the leg against the barn. The hypotenuse is 8 feet more than the leg along the barn. Find the length, in feet, of the three sides of the goat enclosure. \n" ); document.write( "

Algebra.Com's Answer #756612 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "The three side lengths are 12 ft, 16 ft and 20 ft.\r\n" );
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document.write( "It is a standard (3,4,5) right angled triangle.\r\n" );
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document.write( "Formally and algebraically\r\n" );
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document.write( "x^2 + (x+4)^2 = (x+8)^2     (Pythagorean with x = the length of the shortest leg)\r\n" );
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document.write( "x^2 + x^2 + 8x + 16 = x^2 + 16x + 64\r\n" );
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document.write( "x^2 - 8x - 48 = 0\r\n" );
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document.write( "(x-12)*(x+4) = 0\r\n" );
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document.write( "x= 12 is the only positive solution.\r\n" );
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