To solve this problem, we can use the Pythagorean theorem because the path Mary took forms a right triangle. 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 of the right triangle. In this case, the sides are 6 km and 8 km.
2. Square each of these lengths: 6^2 = 36 and 8^2 = 64.
3. Add these squares together: 36 + 64 = 100.
4. Take the square root of this sum to find the length of the hypotenuse. The square root of 100 is 10.

So, Mary would need to walk 10 km in a straight line to get back to work.

Question

To solve this problem, we can use the Pythagorean theorem because the path Mary took forms a right triangle. 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 of the right triangle. In this case, the sides are 6 km and 8 km.
2. Square each of these lengths: 6^2 = 36 and 8^2 = 64.
3. Add these squares together: 36 + 64 = 100.
4. Take the square root of this sum to find the length of the hypotenuse. The square root of 100 is 10.

So, Mary would need to walk 10 km in a straight line to get back to work.

Knowee AI · Accepted Answer

To solve this problem, we can use the Pythagorean theorem because the path Mary took forms a right triangle. 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 of the right triangle. In this case, the sides are 6 km and 8 km.
2. Square each of these lengths: 6^2 = 36 and 8^2 = 64.
3. Add these squares together: 36 + 64 = 100.
4. Take the square root of this sum to find the length of the hypotenuse. The square root of 100 is 10.

So, Mary would need to walk 10 km in a straight line to get back to work.

Mary leaves and walks 6 km due north from work, turns and walks 8 km east to get to the store.How far would Mary need to walk in a straight line to get back to work?

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