document.write( "Question 273769: 29 inches is the shortest leg of a right triangle whose other leg and hypotenuse are consecutive whole numbers. What is the sum of the lengths of the other two sides? \n" ); document.write( "
Algebra.Com's Answer #199977 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! 29 inches is the shortest leg of a right triangle whose other leg and hypotenuse are consecutive whole numbers. What is the sum of the lengths of the other two sides? \n" ); document.write( ": \n" ); document.write( "Let x = one leg \n" ); document.write( "then \n" ); document.write( "(x+1) = hypotenuse \n" ); document.write( ": \n" ); document.write( "29^2 + x^2 = (x+1)^2 \n" ); document.write( ": \n" ); document.write( "841 + x^2 = x^2 + 2x + 1 \n" ); document.write( ": \n" ); document.write( "841 - 1 = x^2 - x^2 + 2x \n" ); document.write( ": \n" ); document.write( "840 = 2x \n" ); document.write( ": \n" ); document.write( "x = 420 is one leg \n" ); document.write( ": \n" ); document.write( "420 + 421 = 841 is the sum of the other two sides \n" ); document.write( " \n" ); document.write( " |