If a rectangle measures 54 meters by 72 meters, what is the length, in meters, of the diagonal of the rectangle? Can someone explain this one?
Use the Pythagoras therom. let the diagonal be x ⇒54²+72²=x² ⇒8100=x² x=90meters
let the diagonal be a. now, as we know that each angle in a rectangle is right angle. thus we have a right angled triangle. now, we can apply pythagoras theorum. a^2 = 54^2 + 72^2 = 2916 + 5184 =8100 thus, a^2 = 8100 thus, a = 90. Thus the diagonal is 90metres.