Question

Help me on this please

Answer 1

5 miles.

Explanation:

The Pythagorean theorem
`a^(2)+b^(2) =c^(2)` will find any side length of a perpendicular triangle when two sides are known.

We substitute for a, the shortest side, a=3 and for b, the longer side, b=4 to find the slanted hypotenuse c.

`a^(2)+b^(2) =c^(2) \\3^(2)+4^(2) =c^(2) \\9+16=c^(2)\\25=c^(2)\\5=c`

The direct route is 5 miles.