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]