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 the airport to Milford (7 miles north) can be one side of the triangle (a), and the distance from the airport to Middletown (7 miles east) can be the other side (b). We're trying to find the distance between Milford and Middletown, which is the hypotenuse (c).

So, we can set up the equation as follows:

7² + 7² = c²
49 + 49 = c²
98 = c²

To solve for c, we take the square root of both sides:

c = √98 ≈ 9.9 miles

So, Milford and Middletown are approximately 9.9 miles apart.

Question

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 the airport to Milford (7 miles north) can be one side of the triangle (a), and the distance from the airport to Middletown (7 miles east) can be the other side (b). We're trying to find the distance between Milford and Middletown, which is the hypotenuse (c).

So, we can set up the equation as follows:

7² + 7² = c²
49 + 49 = c²
98 = c²

To solve for c, we take the square root of both sides:

c = √98 ≈ 9.9 miles

So, Milford and Middletown are approximately 9.9 miles apart.

Knowee AI · Accepted Answer

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 the airport to Milford (7 miles north) can be one side of the triangle (a), and the distance from the airport to Middletown (7 miles east) can be the other side (b). We're trying to find the distance between Milford and Middletown, which is the hypotenuse (c).

So, we can set up the equation as follows:

7² + 7² = c²
49 + 49 = c²
98 = c²

To solve for c, we take the square root of both sides:

c = √98 ≈ 9.9 miles

So, Milford and Middletown are approximately 9.9 miles apart.

Milford is 7 miles due north of the airport, and Middletown is 7 miles due east of the airport. How far apart are Milford and Middletown? If necessary, round to the nearest tenth.

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