document.write( "Question 452737: A lot is in the shape of a right triangle. The shorter leg measures 180 m. The hypotenuse is 60 m
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document.write( "longer than the length of the longer leg. How long is the longer leg? \n" );
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Algebra.Com's Answer #311149 by ilana(307) ![]() You can put this solution on YOUR website! Say the length of the longer leg is x. Then the hypotenuse measures x + 60. So, using the Pythagorean Theorem, x^2 + 180^2 = (x + 60)^2. \n" ); document.write( "x^2 + 32400 = x^2 + 120x + 3600 \n" ); document.write( "32400 = 120x + 3600 \n" ); document.write( "120x = 28800 \n" ); document.write( "x = 240 \n" ); document.write( "The longer leg measures 240 m. \n" ); document.write( " |