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.

In this case, the hypotenuse is the distance Noah ran diagonally across the field (89 yards), one side is the length of the field (80 yards), and the other side we are trying to find is the width of the field.

Let's denote the width of the field as 'b'. We can set up the equation as follows:

80² + b² = 89²

Solving for 'b' gives us:

b² = 89² - 80²
b² = 7921 - 6400
b² = 1521

Taking the square root of both sides to solve for 'b' gives us:

b = √1521
b = 39

So, the width of the field is 39 yards.

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.

In this case, the hypotenuse is the distance Noah ran diagonally across the field (89 yards), one side is the length of the field (80 yards), and the other side we are trying to find is the width of the field.

Let's denote the width of the field as 'b'. We can set up the equation as follows:

80² + b² = 89²

Solving for 'b' gives us:

b² = 89² - 80²
b² = 7921 - 6400
b² = 1521

Taking the square root of both sides to solve for 'b' gives us:

b = √1521
b = 39

So, the width of the field is 39 yards.

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.

In this case, the hypotenuse is the distance Noah ran diagonally across the field (89 yards), one side is the length of the field (80 yards), and the other side we are trying to find is the width of the field.

Let's denote the width of the field as 'b'. We can set up the equation as follows:

80² + b² = 89²

Solving for 'b' gives us:

b² = 89² - 80²
b² = 7921 - 6400
b² = 1521

Taking the square root of both sides to solve for 'b' gives us:

b = √1521
b = 39

So, the width of the field is 39 yards.

Noah ran from one corner of a field to the opposite corner, a distance of 89 yards. Then he ran along its length, a distance of 80 yards. How wide is the field? yardsSubmit

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