Question

Hillsboro is 6 miles due north of the airport, and Middletown is 5 miles due east of the airport. How far apart are Hillsboro and Middletown?

Answer 1

Answer:

Approximately 7.81 miles apart.

Step-by-step explanation:

If you were to draw lines between the three points, you would see that it makes a triangle, with leg lengths 6 and 5, like in the attached file.

To find the distance between Hillsboro and Middletown, or the hypotenuse of the triangle, use the Pythagorean Theorem:

6² + 5² = c²

c² = 61

c = √61 = 7.81 miles

Hope this helps!