Question

5 miles east then 12 miles south how much faster is the direct route

Answer 1

Therefore , the faster route distance is 13 miles.

Explanation:

Given:

AB = 5 miles to East

BC = 12 miles to South

To Find:

AC = Faster and Direct Route = ?

Solution:

Consider ΔABC as a Right Angle Triangle, hence By Pythagoras Theorem,

`(\textrm{Hypotenuse})^(2) = (\textrm{Shorter leg})^(2)+(\textrm{Longer leg})^(2)`

Substituting the values we get

`(AC)^(2)=(AB)^(2)+(BC)^(2)`

`(AC)^(2)=5^(2)+12^(2)=169\\(AC)^(2)=169\\Square\ Rooting\\AC=√(169)=13\ miles`

Therefore , the faster route distance is 13 miles.