document.write( "Question 833653: The length of the shortest side of a right triangle is 6 inches. The lengths of the other two sides are represented by consecutive odd integers. What is the lengths of the other two sides? \n" ); document.write( "
Algebra.Com's Answer #502669 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The length of the shortest side of a right triangle is 6 inches. The lengths of the other two sides are represented by consecutive odd integers. What is the lengths of the other two sides? \n" ); document.write( "----------------------------------- \n" ); document.write( "shortest: 6 inches \n" ); document.write( "hypotenuse: 2x+1 \n" ); document.write( "other: 2x-1 \n" ); document.write( "-------- \n" ); document.write( "Pythagoras: \n" ); document.write( "6^2 + (2x-1)^2 = (2x+1)^2 \n" ); document.write( "----------------------------- \n" ); document.write( "36 + 4x^2 -4x + 1 = 4x^2 + 4x + 1 \n" ); document.write( "------------ \n" ); document.write( "8x = 36 \n" ); document.write( "x = 9/2 \n" ); document.write( "------ \n" ); document.write( "hypotenuse = 2x+1 = 9+1 = 10 inches \n" ); document.write( "other = 2x-1 = 8 inches \n" ); document.write( "---------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |