Question

A new highway was built outside of tri town to relieve traffic on Route 1. How many miles are saved by traveling on the new highway to get from point A to point B?

Answer 1

By applying the Pythagorean Theorem, the number of miles saved is: 4 miles.

What is the Pythagorean Theorem?

If c is the hypotenuse of a right triangle, and the lengths of the two legs are a and b respectively, the Pythagorean Theorem states that, c = √(a² + b²).

The diagram showing the new highway is attached below.

The diagram represents a right triangle. SO, apply the Pythagorean Theorem to find how long it is to travel on the new highway from point A to B.

Thus:

AB is the hypotenuse of the right triangle.

AB = √(AC² + BC²)

Plug in the values

AB = √(12² + 5²)

AB = 13 miles.

Moving from A to B without the highway = AC + BC = 12 + 5 = 17 miles.

Miles saved travelling on the new highway = 17 - 13 = 4 miles.

Therefore, by applying the Pythagorean Theorem, the number of miles saved is: 4 miles.

Learn more about Pythagorean Theorem on:

brainly.com/question/16176867