document.write( "Question 698752: The diagonal of a rectangle is 13cm. How long is its width if its length is 10cm? \n" ); document.write( "
Algebra.Com's Answer #431010 by vidya p(12)![]() ![]() ![]() You can put this solution on YOUR website! Solution : \n" ); document.write( "Let ABCD is an rectangle , \n" ); document.write( "we know that all angles of an rectangle is an right angle, \n" ); document.write( "Hence, the diagonal divides the rectangle in two right angled triangle. \n" ); document.write( "Let take one right angled triangle, ABC \n" ); document.write( "in which Angle B = 90 degree, \n" ); document.write( "and diagonal AC = 13cm and AB = 10 cm \n" ); document.write( "hence by using pythagorus theorem , we get : \n" ); document.write( "Ac^2 = AB^2 + BC^2 \n" ); document.write( "13^2 = 10^2 + BC^2 \n" ); document.write( "BC^2 = 13^2 - 10^2 \n" ); document.write( "BC^2 = ( 13 - 10 ) ( 13 + 10) \n" ); document.write( "BC^2 = 3 * 23 \n" ); document.write( "BC = sqrt ( 69) \r \n" ); document.write( "\n" ); document.write( "Thanks , \n" ); document.write( "Best regards.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |