document.write( "Question 4045: The diagonal of a square television screen measures 18 inches. What is the length of the sides? \n" ); document.write( "
Algebra.Com's Answer #1781 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! The diagonal of a square forms the hypotenuse of a right triangle.\r \n" ); document.write( "\n" ); document.write( "If you know the length of the hypotenuse of a right triangle, you can find the length of the sides using the Pythagorean theorem.\r \n" ); document.write( "\n" ); document.write( "c^2 = a^2 + b^2 In the square with sides, a and b, a = b and c is the diagonal.\r \n" ); document.write( "\n" ); document.write( "c^2 = 2a^2 Divide both sides by 2. \n" ); document.write( "a^2 = c^2/2 Take the square root of both sides. \n" ); document.write( "a = c/sqrt(2) \n" ); document.write( "a = 18/sqrt(2) = 18/1.4142... = 12.73 inches, approximately. \n" ); document.write( " |