Question

Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn, and rode 3 miles to the local swimming pool. If he had ridden directly to the pool, how much distance would he have saved? Round the answer to the nearest tenth of a mile.

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.

Answer 1

D

Explanation:

Answer 2

Keith travelled 4.2 miles if he had ridden directly to the pool

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

`AC^2=AB^2+BC^2\\=3^2+3^2\\=9+9\\=18\\\Rightarrow AC=√(18)=4.2\,\,miles`

Keith travelled 4.2 miles if he had ridden directly to the pool