Answer:
The length of Vindale Avenue = x = AB = 6 m
Step-by-step explanation:
Given data
Diagonal distance AC = 10 m
BC = length of castroville Street = 8 m
Let the length of Vindale Avenue = x
Thus a Δ ABC is formed.
From the Δ ABC
[tex]AC^{2} = AB^{2} + BC^{2}[/tex]
[tex]10^{2} = x^{2} + 8^{2}[/tex]
[tex]x^{2} = 100 - 64[/tex]
[tex]x^{2} = 36[/tex]
x = 6 m
Therefore the length of Vindale Avenue = x = AB = 6 m
