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,
[tex](\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}[/tex]
Substituting the values we get
[tex](AC)^{2}=(AB)^{2}+(BC)^{2}[/tex]
[tex](AC)^{2}=5^{2}+12^{2}=169\\(AC)^{2}=169\\Square\ Rooting\\AC=\sqrt{169}=13\ miles[/tex]
Therefore , the faster route distance is 13 miles.
