Question

alicia rides her bike 4 miles due north and 3 miles due west to a playground. What is the shortest distance to alicias home from the playground

Answer 1

5 miles.

Explanation:

We would be using the Pythagoras Theorem to solve for this.

I have attached a diagram to better help you to better understand my explanation this.

The shortest distance from her playground to her house = Hypotenuse

Pythagoras Theorem for a triangle =

c² = a² + b²

Where c = Hypotenuse

a = 3 miles due west

b = 4 miles north

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = √25

c = 5 miles

Therefore, the shortest distance to Alicia's home from the playground is 5 miles.