To find the distance between A and C, we can use the Pythagorean theorem because the problem describes a right triangle (with B as the right angle). The theorem 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 are the steps:

1. Identify the lengths of the two sides that form the right angle. In this case, AB is 5 miles and BC is 7 miles.

2. Square each of these lengths: (AB)^2 = (5 miles)^2 = 25 square miles and (BC)^2 = (7 miles)^2 = 49 square miles.

3. Add these two squares together: 25 square miles + 49 square miles = 74 square miles.

4. Take the square root of this sum to find the length of AC (the hypotenuse). The square root of 74 is approximately 8.6 miles.

So, the distance between A and C is approximately 8.6 miles.

Question

To find the distance between A and C, we can use the Pythagorean theorem because the problem describes a right triangle (with B as the right angle). The theorem 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 are the steps:

1. Identify the lengths of the two sides that form the right angle. In this case, AB is 5 miles and BC is 7 miles.

2. Square each of these lengths: (AB)^2 = (5 miles)^2 = 25 square miles and (BC)^2 = (7 miles)^2 = 49 square miles.

3. Add these two squares together: 25 square miles + 49 square miles = 74 square miles.

4. Take the square root of this sum to find the length of AC (the hypotenuse). The square root of 74 is approximately 8.6 miles.

So, the distance between A and C is approximately 8.6 miles.

Knowee AI · Accepted Answer

To find the distance between A and C, we can use the Pythagorean theorem because the problem describes a right triangle (with B as the right angle). The theorem 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 are the steps:

1. Identify the lengths of the two sides that form the right angle. In this case, AB is 5 miles and BC is 7 miles.

2. Square each of these lengths: (AB)^2 = (5 miles)^2 = 25 square miles and (BC)^2 = (7 miles)^2 = 49 square miles.

3. Add these two squares together: 25 square miles + 49 square miles = 74 square miles.

4. Take the square root of this sum to find the length of AC (the hypotenuse). The square root of 74 is approximately 8.6 miles.

So, the distance between A and C is approximately 8.6 miles.

B is 5 miles due North of AC is 7 miles due East of B.Find the distance AC

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