document.write( "Question 913435: determine the length of the diagonal of a rectangle with dimensions 3cm x 9cm \n" ); document.write( "
Algebra.Com's Answer #562192 by Roseghanezadeh(16)![]() ![]() ![]() You can put this solution on YOUR website! So you know the width is 3cm and the length is 9cm. When you draw a diagonal from one corner of the rectangle to its opposite corner, you create a right triangle. To find the length of that diagonal (which is the hypotenuse) you have to use the Pythagorean theorem: \n" ); document.write( "a^2 + b^2 = c^2 \n" ); document.write( "So now you substitute: \n" ); document.write( "3^2 + 9^2 = c^2 \n" ); document.write( "9 + 81= c^2 \n" ); document.write( "c^2 = 90 \n" ); document.write( "c = sqrt(90) \n" ); document.write( "c = 9.486 \n" ); document.write( "You can also round your answer to: \n" ); document.write( "c = 9.5cm \n" ); document.write( " |