document.write( "Question 171640: the hypotneuse of a right triangle is 2.9 inches long.the longer leg is 1.7 units longer than the shorter leg. what is the length of the side of the triangle? \n" ); document.write( "
Algebra.Com's Answer #126787 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the hypotneuse of a right triangle is 2.9 inches long.the longer leg is 1.7 units longer than the shorter leg. what is the length of the side of the triangle? \n" ); document.write( "----------------- \n" ); document.write( "Let shorter leg be x inches long \n" ); document.write( "then 2nd leg is \"x+1.7\" inches long. \n" ); document.write( "---------------- \n" ); document.write( "EQUATION: \n" ); document.write( "2.9^2 = x^2 + (x+1.7)^2 \n" ); document.write( "8.41 = x^2 + x^2 + 3.4x + 2.89 \n" ); document.write( "2x^2 + 3.4x - 5.52 = 0\r \n" ); document.write( "\n" ); document.write( "x^2 + 1.7x - 2.76 = 0\r \n" ); document.write( "\n" ); document.write( "x = [-1.7 +- sqrt(1.7^2 - 4*-2.76)]/2\r \n" ); document.write( "\n" ); document.write( "x = [-1.7 +- sqrt(13.93)]/2\r \n" ); document.write( "\n" ); document.write( "x = [-1.7 +- 3.7323]/2\r \n" ); document.write( "\n" ); document.write( "Positive solution: \n" ); document.write( "x = 1.01615000 \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |