SOLUTION: If the new road is built from a point 14 miles south of the center of town to a point 10 miles west of the center of town, what is the length of the new road? My answer was 17.2 m

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Question 5598: If the new road is built from a point 14 miles south of the center of town to a point 10 miles west of the center of town, what is the length of the new road?
My answer was 17.2 miles long, but i'm not sure if that is right.
Thanks!

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Congratulations! You are correct.
You can use the Pythagorean theorem to solve this because if you connect the center of town with the point 14 miles south of town and the point 10 miles west of town, you will have two legs of a right triangle. The new road would constitute the hypotenuse of this right triangle.
So, if x is the length of the new road, then:


x = 17.2 miles.

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