document.write( "Question 483851: What's the answer for square root of x^2-y^2? \n" ); document.write( "
Algebra.Com's Answer #331100 by Theo(13342)![]() ![]() You can put this solution on YOUR website! i believe the answer depends on the values of x and y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you set z = sqrt(x^2 - y^2), you can square both sides of that equation to get: \n" ); document.write( "z^2 = x^2 - y^2 \n" ); document.write( "if you add y^2 to both sides of that equation, then you get: \n" ); document.write( "z^2 + y^2 = x^2 which can be shown as: \n" ); document.write( "x^2 = z^2 + y^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this looks a lot like the pythagorean formula of c^2 = a^2 + b^2, except:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = c \n" ); document.write( "z = a \n" ); document.write( "y = b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c is the hypotenuse of a right triangle. \n" ); document.write( "a and b are legs of the right triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this can be translated to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x is the hypotenuse of a right triangle. \n" ); document.write( "z and y are legs of the right triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "is that what you're looking for?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if not, then what i the problem you are trying to solve?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |