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myrzilka [38]
2 years ago
13

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 high

way to get from point A to point B?
Mathematics
1 answer:
lana66690 [7]2 years ago
6 0

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

<h3>What is the Pythagorean Theorem?</h3>

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

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