1 Answer

Joselito · Answer 1 · 2022-06-03T07:13:28+0000

Answer: The side of the playground is around 10 meters long

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

$2a^(2) =14^(2) \\2a^(2) =196\\a^(2) =98\\a=√(98) \\a= 9.999$

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