Question

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

Answer 1

`(5)/(2)`
`√(2)`

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/
`√(2)` which, when you rationalize the denominator is the same as 5/2
`√(2)`