Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary. (1 point) Responses 7.62 7.62 8.54 8.54 11 11 73 73 Skip to navigation

To use the Pythagorean Theorem to find the length between two points, you can follow these steps:

1. Identify the coordinates of the two points. Let's say the points are \((x_1, y_1)\) and \((x_2, y_2)\).
2. Use the formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

3. Substitute the coordinates into the formula and calculate.

Since you haven't provided the coordinates, please provide the two points if you want me to calculate the distance for you. Alternatively, if you just need to select an answer from the options provided (7.62, 8.54, 11, 73), please provide the coordinates so I can calculate the distance accurately.

To find the distance between the points A(2, -3) and B(5, 5) using the Pythagorean Theorem, we can use the distance formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Here, we have:

• Point A: \( (x_1, y_1) = (2, -3) \)
• Point B: \( (x_2, y_2) = (5, 5) \)

Now we can plug the coordinates into the formula:

\[ d = \sqrt{(5 - 2)^2 + (5 - (-3))^2} \]

Calculating inside the parentheses:

\[ d = \sqrt{(3)^2 + (8)^2} \]

Calculating the squares:

\[ d = \sqrt{9 + 64} \]

Adding the results:

\[ d = \sqrt{73} \]

Now, calculating the square root of 73:

\[ d \approx 8.54 \]

Thus, the distance between the points A and B is approximately 8.54.