document.write( "Question 873522: a right triangle has a hypotenuse of 15 and one leg of length of 5. determine the length of the other leg \n" ); document.write( "
Algebra.Com's Answer #526932 by harpazo(655) You can put this solution on YOUR website! (leg)^2 + (leg^2 = (hypotenuse)^2\r \n" ); document.write( "\n" ); document.write( "Let x = the missing leg\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + 5^2 = 15^2\r \n" ); document.write( "\n" ); document.write( "x^2 + 25 = 225\r \n" ); document.write( "\n" ); document.write( "x^2 = 225-25\r \n" ); document.write( "\n" ); document.write( "x^2 = 200\r \n" ); document.write( "\n" ); document.write( "Take square root of both sides.\r \n" ); document.write( "\n" ); document.write( "Let sqrt = square root for short\r \n" ); document.write( "\n" ); document.write( "sqrt(x^2) = sqrt(200)\r \n" ); document.write( "\n" ); document.write( "x = sqrt(100) times sqrt(2)\r \n" ); document.write( "\n" ); document.write( "x = 10*sqrt(2)\r \n" ); document.write( "\n" ); document.write( "The missing leg has a length of 10*sqrt(2)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |