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

Step-by-step 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

$15^2=x^2+9^2$

$x^2=225-81$

$x^2=144$

$x=12\ miles$