document.write( "Question 773862: The area of a right triangle is 60 sq. in. The longer leg is 1 less than twice the shorter leg. Find the length of each leg \n" ); document.write( "
Algebra.Com's Answer #471901 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! A = b*h/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "60 = x*(2x-1)/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "120 = 2x^2 - x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x^2 - x - 120 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x - 8)(2x + 15) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - 8 = 0 or 2x+15 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 8 or 2x = -15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 8 or x = -15/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Toss out the negative result. The only answer left is x = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x-1 = 2*8-1 = 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the legs are 8 inches and 15 inches \n" ); document.write( " |