Question

In Belleville, the library is due south of the courthouse and due west of the

community swimming pool. If the distance between the library and the courthouse
is 9 miles and the distance between the courthouse and the city pool is 15 miles,
how far is the library from the community pool?

Answer 1

Answer:12 miles

Explanation:

Given

Distance between Court house and Library is
`9\ miles`

Distance between Court house and community hall is
`15\ miles`

Suppose distance between Court house and library is
`x\ miles`

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

`15^2=x^2+9^2`

`x^2=225-81`

`x^2=144`

`x=12\ miles`