document.write( "Question 181511: One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides? \n" ); document.write( "
Algebra.Com's Answer #854676 by ikleyn(53937) You can put this solution on YOUR website! . \n" ); document.write( "One side of a rectangular stage is 2 meters longer than the other. \n" ); document.write( "If the diagonal is 10 meters, then what are the lengths of the sides? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution and the answer in the post by @HyperBrain both are incorrect due to arithmetic error.\r \n" ); document.write( "\n" ); document.write( " See my correct solution below.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x = width \n" ); document.write( ". . x+2 = length \n" ); document.write( "+++ \n" ); document.write( "The diagonal of length 10 acts as the hypotenuse while x and x+2 are the legs. Using the Pythagorean theorem,\r \n" ); document.write( "\n" ); document.write( "x2+(x+2)^2 = 10^2\r \n" ); document.write( "\n" ); document.write( "x^2 + x^2 + 4x + 4 = 100\r \n" ); document.write( "\n" ); document.write( "2x^2 + 4x - 96 = 0\r \n" ); document.write( "\n" ); document.write( " x^2 + 2x - 48 = 0\r \n" ); document.write( "\n" ); document.write( "(x+8)*(x-6) = 0\r \n" ); document.write( "\n" ); document.write( "Use the positive root x = 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The sides are 6 meters and 8 meters. ANSWER\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved correctly.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "//////////////////////////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The fact that @HyperBrain repeats these words \"Power up, @HyperBrain!\" from post to post, \n" ); document.write( "tells me that he uses a computer code.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The fact that @HyperBrain makes numerous errors from post to post, \n" ); document.write( "tells me that his goal is to run the code, ONLY, without thinking is it correct or wrong.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The correctness of his solution is permanently out of his consideration. \n" ); document.write( "The correctness is not interesting to him.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When a person writes this way, his character is seen through his writing as a clear day.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |