To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Here, the distance from home to Middletown (7 miles) and the distance from home to Dover (5 miles) are the two sides of a right triangle, and the distance from Middletown to Dover is the hypotenuse we're trying to find.

So, we can plug the given values into the Pythagorean theorem:

7² + 5² = c²
49 + 25 = c²
74 = c²

To find c (the distance from Middletown to Dover), we take the square root of both sides:

c = √74
c ≈ 8.6 miles

So, Middletown and Dover are approximately 8.6 miles apart, measured in a straight line.

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To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Here, the distance from home to Middletown (7 miles) and the distance from home to Dover (5 miles) are the two sides of a right triangle, and the distance from Middletown to Dover is the hypotenuse we're trying to find.

So, we can plug the given values into the Pythagorean theorem:

7² + 5² = c²
49 + 25 = c²
74 = c²

To find c (the distance from Middletown to Dover), we take the square root of both sides:

c = √74
c ≈ 8.6 miles

So, Middletown and Dover are approximately 8.6 miles apart, measured in a straight line.

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To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Here, the distance from home to Middletown (7 miles) and the distance from home to Dover (5 miles) are the two sides of a right triangle, and the distance from Middletown to Dover is the hypotenuse we're trying to find.

So, we can plug the given values into the Pythagorean theorem:

7² + 5² = c²
49 + 25 = c²
74 = c²

To find c (the distance from Middletown to Dover), we take the square root of both sides:

c = √74
c ≈ 8.6 miles

So, Middletown and Dover are approximately 8.6 miles apart, measured in a straight line.

Whenever he visits Middletown, Aiden has to drive 7 miles due north from home. Whenever he visits Dover, he has to drive 5 miles due east from home. How far apart are Middletown and Dover, measured in a straight line? If necessary, round to the nearest tenth. milesSubmit

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