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A walkway forms one diagonal of a square playground. The walkway is 5m long. How long is a side of the​ playground?

Respuesta :

Answer:

[tex]\frac{5}{2}[/tex][tex]\sqrt{2}[/tex]

Step-by-step explanation:

think of this walkway as an isosceles triangle where each side is 'a'

using Pythagorean Theorem, a² + a² = 5²

2a² = 25

a² = 25/2

a = 5/[tex]\sqrt{2}[/tex] which, when you rationalize the denominator is the same as 5/2[tex]\sqrt{2}[/tex]