document.write( "Question 442534: The length of one leg of a right triangle is 8 inches. The length of the other leg is 6 inches shorter than the hypotenuse. Find the length of the missing leg and the hypotenuse \n" ); document.write( "
Algebra.Com's Answer #305253 by swincher4391(1107)\"\" \"About 
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Let c represent the hypotenuse in a right triangle. Let a,b be the legs.\r
\n" ); document.write( "\n" ); document.write( "Recall a^2 + b^2 = c^2\r
\n" ); document.write( "\n" ); document.write( "Let's select a to be 8 inches. \r
\n" ); document.write( "\n" ); document.write( "And let's let b = c-6, since b is 6 less than the hypotenuse.\r
\n" ); document.write( "\n" ); document.write( "Then:\r
\n" ); document.write( "\n" ); document.write( "\"8%5E2+%2B+%28c-6%29%5E2++=+c%5E2\"
\n" ); document.write( "\"64+%2B+c%5E2+-12c+%2B+36+=+c%5E2\"
\n" ); document.write( "\"-12c+%2B+100+=+0\"
\n" ); document.write( "\"4%28-3c+%2B+25%29+=+0\"
\n" ); document.write( "\"-3c+=+-25++=+c+=25%2F3\"\r
\n" ); document.write( "\n" ); document.write( "Since b = c-6, then b = 25/3 -6 = 7/3 \r
\n" ); document.write( "\n" ); document.write( "Thus we have \"a=+8\" \"b=+7%2F3\" \"c=25%2F3\"\r
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