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
1 answer:
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:
You might be interested in
<u>Let's solve this problem step-by-step</u>:
<u>Thus v = 14</u>
<u />
<u>Answer: v= 14</u>
<u></u>
Hope that helps!