To solve this problem, we can use the Pythagorean theorem because the path Anna takes 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 Anna walks south can be one side of the triangle (a = 15 km), the distance she walks east can be the second side (b = 20 km), and the straight-line distance from her home back to school is the hypotenuse (c).

Substituting the given values into the Pythagorean theorem gives us:

15² + 20² = c²
225 + 400 = c²
625 = c²

Taking the square root of both sides to solve for c gives:

c = √625
c = 25 km

So, Anna would need to walk 25 km in a straight line to get back to school.

Question

To solve this problem, we can use the Pythagorean theorem because the path Anna takes 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 Anna walks south can be one side of the triangle (a = 15 km), the distance she walks east can be the second side (b = 20 km), and the straight-line distance from her home back to school is the hypotenuse (c).

Substituting the given values into the Pythagorean theorem gives us:

15² + 20² = c²
225 + 400 = c²
625 = c²

Taking the square root of both sides to solve for c gives:

c = √625
c = 25 km

So, Anna would need to walk 25 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 Anna takes 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 Anna walks south can be one side of the triangle (a = 15 km), the distance she walks east can be the second side (b = 20 km), and the straight-line distance from her home back to school is the hypotenuse (c).

Substituting the given values into the Pythagorean theorem gives us:

15² + 20² = c²
225 + 400 = c²
625 = c²

Taking the square root of both sides to solve for c gives:

c = √625
c = 25 km

So, Anna would need to walk 25 km in a straight line to get back to school.

Anna leaves and walks 15 km due south from school, turns and walks 20 km east to get home.How far would Anna need to walk in a straight line to get back to school?

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