Honour is on her way home from school.
She walks 3 miles North and then 4 miles East. What is the shortest distance she can cover to reach home the fastest? Don't forget your units (miles).
To determine the shortest distance Honor can cover to reach home the fastest, we can use the Pythagorean theorem to find the hypotenuse of a right triangle, where the two legs are the distances walked in the North and East directions.
Given that Honor walked 3 miles North and 4 miles East, the shortest distance she can cover to reach home the fastest is the hypotenuse of a right triangle with legs measuring 3 miles and 4 miles.
Using the Pythagorean theorem, we have:
c^2 = a^2 + b^2, where c represents the hypotenuse, and a and b represent the lengths of the legs.
c^2 = 3^2 + 4^2
c^2 = 9 + 16
c^2 = 25
Taking the square root of both sides, we find:
c = √25
c = 5
Therefore, the shortest distance Honor can cover to reach home the fastest is 5 miles.