document.write( "Question 413058: Which one is greater...The diagonal of a rectangle or half the perimeter of the same rectangle? \n" ); document.write( "
Algebra.Com's Answer #289985 by Theo(13342)![]() ![]() You can put this solution on YOUR website! Half the perimeter of the rectangle is greater.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The diagonal cuts the rectangle in half and makes 2 right triangles out of it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in a right triangle, the sum of the 2 legs of the triangle is always greater than the hypotenuse.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the diagonal of the rectangle is the hypotenuse of the 2 right triangles formed by it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "consider a 3,4,5 right triangle (common one).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c^2 = a^2 + b^2 means 5^2 = 3^2 + 4^2 means 25 = 9 + 16 = 25.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 + 4 is greater than 5 (sum of 2 legs is greater than the hypotenuse).\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |