Answer:12 miles
Step-by-step explanation:
Given
Distance between Court house and Library is [tex]9\ miles[/tex]
Distance between Court house and community hall is [tex]15\ miles[/tex]
Suppose distance between Court house and library is [tex]x\ miles[/tex]
We can observe that the Court house, library and Community hall Forms a sort of right angled triangle as shown in fig
therefore we can write
[tex]15^2=x^2+9^2[/tex]
[tex]x^2=225-81[/tex]
[tex]x^2=144[/tex]
[tex]x=12\ miles[/tex]
