document.write( "Question 1133980: The hypotenuse of a right triangle is 2 in longer than the longer leg. The shorter leg measures 2 in less than the longer leg. Find the measure of the longer leg of the triangle. \n" ); document.write( "

Algebra.Com's Answer #751250 by josgarithmetic(39617) $\"\"$ $\"About$

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document.write( "SIDES            NUMBER EXPRESSIONS\r\n" );
document.write( "long leg         x\r\n" );
document.write( "short leg        x-2\r\n" );
document.write( "hypotenuse       x+2\r\n" );
document.write( "equation        (x+2)^2=x^2+(x-2)^2\r\n" );
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\n" ); document.write( "\n" ); document.write( "Simplify and solve: $\"%28x%2B2%29%5E2=x%5E2%2B%28x-2%29%5E2\"$ .\r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B4x%2B4=x%5E2%2Bx%5E2-4x%2B4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4x=x%5E2-4x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2-8x=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%28x-8%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28x=8%29\"$ -------------the LONGEST leg (not the hypotenuse) \n" ); document.write( "

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