This problem can be solved using 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.

Here, we can consider Belleville, Booneville, and the airport as three points forming a right triangle. The airport to Belleville is one side (8 miles), the airport to Booneville is another side (5 miles), and the distance from Belleville to Booneville is the hypotenuse, which we are trying to find.

The formula of the Pythagorean theorem is: a² + b² = c²

Let's plug in the values:

8² + 5² = c²
64 + 25 = c²
89 = c²

To find c (the distance between Belleville and Booneville), we take the square root of 89.

c = √89
c ≈ 9.4 miles

So, Belleville and Booneville are approximately 9.4 miles apart.

Question

This problem can be solved using 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.

Here, we can consider Belleville, Booneville, and the airport as three points forming a right triangle. The airport to Belleville is one side (8 miles), the airport to Booneville is another side (5 miles), and the distance from Belleville to Booneville is the hypotenuse, which we are trying to find.

The formula of the Pythagorean theorem is: a² + b² = c²

Let's plug in the values:

8² + 5² = c²
64 + 25 = c²
89 = c²

To find c (the distance between Belleville and Booneville), we take the square root of 89.

c = √89
c ≈ 9.4 miles

So, Belleville and Booneville are approximately 9.4 miles apart.

Knowee AI · Accepted Answer

This problem can be solved using 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.

Here, we can consider Belleville, Booneville, and the airport as three points forming a right triangle. The airport to Belleville is one side (8 miles), the airport to Booneville is another side (5 miles), and the distance from Belleville to Booneville is the hypotenuse, which we are trying to find.

The formula of the Pythagorean theorem is: a² + b² = c²

Let's plug in the values:

8² + 5² = c²
64 + 25 = c²
89 = c²

To find c (the distance between Belleville and Booneville), we take the square root of 89.

c = √89
c ≈ 9.4 miles

So, Belleville and Booneville are approximately 9.4 miles apart.

Belleville is 8 miles due north of the airport, and Booneville is 5 miles due east of the airport. How far apart are Belleville and Booneville? If necessary, round to the nearest tenth. milesSubmit

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