Question

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

Answer 1

Answer:

Therefore , the faster route distance is 13 miles.

Step-by-step 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

$(AC)^{2}=(AB)^{2}+(BC)^{2}$

$(AC)^{2}=5^{2}+12^{2}=169\\(AC)^{2}=169\\Square\ Rooting\\AC=\sqrt{169}=13\ miles$

Therefore , the faster route distance is 13 miles.