Answer: The length of the diagonal that runs across the park is 65 yd
Step-by-step explanation: The dimensions of the city park has been given as 60 yd by 25 yd. The line that forms the diagonal across the park helps to create a right angled triangle with two sides given as 60 and 25. The third side, which is the diagonal (also called the hypotenuse) is yet unknown.
Having a right angled triangle with two sides we can use the Pythagoras theorem given as
AC^2 = AB^2 + BC^2
(That is, AC squared equals AB squared plus BC squared)
AC is the diagonal/hypotenuse while AB and BC are the other two sides. Hence, the formula becomes
AC^2 = 60^2 + 25^2
AC^2 = 3600 + 625
AC^2 = 4225
Add the square root sign to both sides of the equation and we have
AC = 65
Therefore the length of the diagonal is 65 yd.
