document.write( "Question 75949: One leg of a right triangle is 2 inches smaller than the hypotenuse. The other leg is 5 inches long. What are the lengths of the unknown leg and hypotenuse? \n" ); document.write( "
Algebra.Com's Answer #54540 by funmath(2933)\"\" \"About 
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One leg of a right triangle is 2 inches smaller than the hypotenuse. The other leg is 5 inches long. What are the lengths of the unknown leg and hypotenuse?
\n" ); document.write( "The Pythagorean theorem says the hypotenuse squared = leg squared + other leg squared c^2=a^2+b^2
\n" ); document.write( "Let the hypotenuse be: x
\n" ); document.write( "Then the leg that is two inches smaller than the hypotenuse is: x-2
\n" ); document.write( "The other leg is: 5
\n" ); document.write( "\"x%5E2=%28x-2%29%5E2%2B5%5E2\"
\n" ); document.write( "\"x%5E2=x%5E2-4x%2B4%2B25\"
\n" ); document.write( "\"x%5E2=x%5E2-4x%2B29\"
\n" ); document.write( "\"x%5E2-x%5E2=x%5E2-x%5E2-4x%2B29\"
\n" ); document.write( "\"0=-4x%2B29\"
\n" ); document.write( "\"0-29=-4x%2B29-29\"
\n" ); document.write( "\"-29=-4x\"
\n" ); document.write( "\"-29%2F-4=-4x%2F-4\"
\n" ); document.write( "\"7.25=x\"
\n" ); document.write( "The hypotenuse is x=7.25 in
\n" ); document.write( "The missing leg is x-2=7.25-2=5.25 in
\n" ); document.write( "Happy Calculating!!!!
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