document.write( "Question 557594: right triangles ABC has legs of lengths 4 ft and 7 ft. what is the length of the triangle's hypotenuse? \n" ); document.write( "
Algebra.Com's Answer #362675 by neatmath(302)\"\" \"About 
You can put this solution on YOUR website!

We can go directly to the Pythagorean Theorem on this one:
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\n" ); document.write( "\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\"
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\n" ); document.write( "\n" ); document.write( "where a and b are the legs of the triangle, and c is the hyptotenuse of the triangle.
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\n" ); document.write( "\n" ); document.write( "Given legs of 4 ft and 7 ft, we have:
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\n" ); document.write( "\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\"
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\n" ); document.write( "\n" ); document.write( "\"4%5E2%2B7%5E2=c%5E2\"
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\n" ); document.write( "\n" ); document.write( "\"16%2B49=c%5E2\"
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\n" ); document.write( "\n" ); document.write( "\"65=c%5E2\"
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\n" ); document.write( "\n" ); document.write( "\"c=sqrt%2865%29\" or \"c=-sqrt%2865%29\"
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\n" ); document.write( "\n" ); document.write( "Since we are talking about distances, we can ignore the negative solution.
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\n" ); document.write( "\n" ); document.write( "Thus, our anwer is:
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\n" ); document.write( "\n" ); document.write( "The length of the hypotenuse is exactly \"sqrt%2865%29\" ft long.
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\n" ); document.write( "\n" ); document.write( "This is approximately 8.06 ft, which makes sense given our triangle.
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\n" ); document.write( "\n" ); document.write( "I hope this helps! :)
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\n" ); document.write( "\n" ); document.write( "Email Scott King: neatmath@yahoo.com for help with specific problems,
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\n" ); document.write( "\n" ); document.write( "or to inquire about low-cost mathematics tutoring via email or other methods.
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\n" ); document.write( "\n" ); document.write( "Paypal is always accepted for detailed assistance with single problems.
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\n" ); document.write( "\n" ); document.write( "Single problems would range from 50 cents to 5 dollars each, depending on their complexity.

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