document.write( "Question 300265: A lot is in the shape of a right triangle. The shorter leg measures 60 meters. The hypotenuse is 20 meters longer than the length of the longer leg. How long is the longer leg?
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Algebra.Com's Answer #215607 by ankor@dixie-net.com(22740)\"\" \"About 
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A lot is in the shape of a right triangle.
\n" ); document.write( "The shorter leg measures 60 meters.
\n" ); document.write( " The hypotenuse is 20 meters longer than the length of the longer leg.
\n" ); document.write( " How long is the longer leg?
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\n" ); document.write( "Assume you are familiar with a^2 + b^2 = c^2
\n" ); document.write( "in this problem
\n" ); document.write( "a = the longer leg
\n" ); document.write( "b = 60
\n" ); document.write( "c = (a+20)
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\n" ); document.write( "a^2 + 60^2 = (a+20)^2
\n" ); document.write( "FOIL
\n" ); document.write( "a^2 + 3600 = a^2 + 40a + 400
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\n" ); document.write( "a^2 - a^2 - 40a = 400 - 3600
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\n" ); document.write( "-40a = -3200
\n" ); document.write( "a = \"%28-3200%29%2F%28-40%29\"
\n" ); document.write( "a = +80 is the longer leg
\n" ); document.write( "and
\n" ); document.write( "20 + 80 = 100 is the hypotenuse
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\n" ); document.write( "Check our solutions
\n" ); document.write( "80^2 + 60^2 = 100^2
\n" ); document.write( "6400 + 3600 = 10000
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