Answer: The side of the playground is around 10 meters long
Step-by-step explanation:
use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.
Usually
[tex]a^{2} +b^{2} =c^{2}[/tex]
since we know a and b are the same length (sides of a square are congruent) we would have
[tex]a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}[/tex]
We know that c is 14 so
[tex]2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999[/tex]
