Answer:
26 miles
Step-by-step explanation:
We can use Pythagorean's Theorem for right triangles which states that:
[tex]a^2+b^2=c^2[/tex]
The values 'a' and 'b' are the shorter sides of the triangle, while the value 'c' is the longest side of the triangle. We are given the two shorter sides 'a' and 'b', so let's now find 'c':
[tex](24mi)^2+(10mi)^2=c^2[/tex]
[tex]576mi^2+100mi^2=c^2[/tex]
[tex]c^2=676mi^2[/tex]
[tex]c=\sqrt{676mi^2}[/tex]
[tex]c=26mi[/tex]
