Question

A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?

Answer 1

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

$a^{2} +b^{2} =c^{2}$

since we know a and b are the same length (sides of a square are congruent) we would have

$a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}$

We know that c is 14 so

$2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999$