To solve this problem, we can use the Pythagorean theorem because the path Aluna took forms a right triangle. The Pythagorean 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. This can be written as: a² + b² = c².

Here, the distance Aluna walked south can be one side of the triangle (a = 12 km), the distance she walked east can be the second side (b = 16 km), and the straight-line distance from the store back to school is the hypotenuse (c).

So, we can calculate c as follows:

c² = a² + b²
c² = 12² + 16²
c² = 144 + 256
c² = 400

To get c, we take the square root of 400, which is 20.

So, Aluna would need to walk 20 km in a straight line to get back to school.

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To solve this problem, we can use the Pythagorean theorem because the path Aluna took forms a right triangle. The Pythagorean 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. This can be written as: a² + b² = c².

Here, the distance Aluna walked south can be one side of the triangle (a = 12 km), the distance she walked east can be the second side (b = 16 km), and the straight-line distance from the store back to school is the hypotenuse (c).

So, we can calculate c as follows:

c² = a² + b²
c² = 12² + 16²
c² = 144 + 256
c² = 400

To get c, we take the square root of 400, which is 20.

So, Aluna would need to walk 20 km in a straight line to get back to school.

Knowee AI · Accepted Answer

To solve this problem, we can use the Pythagorean theorem because the path Aluna took forms a right triangle. The Pythagorean 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. This can be written as: a² + b² = c².

Here, the distance Aluna walked south can be one side of the triangle (a = 12 km), the distance she walked east can be the second side (b = 16 km), and the straight-line distance from the store back to school is the hypotenuse (c).

So, we can calculate c as follows:

c² = a² + b²
c² = 12² + 16²
c² = 144 + 256
c² = 400

To get c, we take the square root of 400, which is 20.

So, Aluna would need to walk 20 km in a straight line to get back to school.

Aluna leaves and walks 12 km due south from school, turns and walks 16 km east to get to the store.How far would Aluna need to walk in a straight line to get back to school?

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