document.write( "Question 1041173: the hypotenuse of a right triangle is 12 inches and the area is 24 square inches. Find the dimension of the triangle, correct to one decimal place. \n" ); document.write( "

Algebra.Com's Answer #656120 by josgarithmetic(39617) $\"\"$ $\"About$

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x y h dimensions; h for hypotenuse\r
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\n" ); document.write( "\n" ); document.write( " $\"system%28x%5E2%2By%5E2=12%5E2%2Cxy=24%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=24%2Fx\"$
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\n" ); document.write( " $\"x%5E2%2B%2824%2Fx%29%5E2=144\"$
\n" ); document.write( " $\"x%5E4%2B24=144x%5E2\"$
\n" ); document.write( " $\"x%5E4-144x%5E2%2B24=0\"$
\n" ); document.write( "Solve first for $\"x%5E2\"$ ....\r
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\n" ); document.write( "\n" ); document.write( "Graphing y=x^4-144x^2+24 through google.com shows that there are three real and apparently rational roots, so that degree-four polynomial is factorable. \n" ); document.write( "

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