document.write( "Question 1071568: If a right triangle has legs of length 6 and 7, what is the length of the hypotenuse? \n" ); document.write( "
Algebra.Com's Answer #686477 by jim_thompson5910(35256)\"\" \"About 
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The two legs given are
\n" ); document.write( "a = 6
\n" ); document.write( "b = 7
\n" ); document.write( "The hypotenuse is unknown, so we'll say
\n" ); document.write( "c = x\r
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\n" ); document.write( "\n" ); document.write( "Let's use the pythagorean theorem to find x
\n" ); document.write( "\"a%5E2%2Bb%5E2+=+c%5E2\"
\n" ); document.write( "\"6%5E2%2B7%5E2+=+x%5E2\"
\n" ); document.write( "\"36%2B49+=+x%5E2\"
\n" ); document.write( "\"85+=+x%5E2\"
\n" ); document.write( "\"x%5E2+=+85\"
\n" ); document.write( "\"sqrt%28x%5E2%29+=+sqrt%2885%29\"
\n" ); document.write( "\"x+=+sqrt%2885%29\" Note: x cannot be negative so \"x+%3E+0\"
\n" ); document.write( "\"x+=+9.21954445729289\"\r
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\n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------------\r
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\n" ); document.write( "\n" ); document.write( "The exact length of the hypotenuse is \"sqrt%2885%29\" units which is approximate to \"9.21954445729289\" units (use a calculator to take the square root of 85). This approximate value can be rounded however your teacher or your book wants it.
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