Answer:
Keith travelled 4.2 miles if he had ridden directly to the pool
Step-by-step explanation:
Given: In a right triangle, the distance from the angle with measure 90 degrees to Keith's pool is 3 miles, and the distance to the pool is 3 miles.
To find: Distance travelled by Keith if he moved directly from house to swimming pool
Solution:
ΔABC is a right angled triangle.
Using Pythagoras theorem, square of hypotenuse is equal to sum of squares of base and perpendicular
[tex]AC^2=AB^2+BC^2\\=3^2+3^2\\=9+9\\=18\\\Rightarrow AC=\sqrt{18}=4.2\,\,miles[/tex]
Keith travelled 4.2 miles if he had ridden directly to the pool
