If point C is at (0, 0) and point D is at (6, 8), what is the length of segment

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Question: If point C is at (0, 0) and point D is at (6, 8), what is the length of segment CD?

Options:

Correct Answer: 10

Solution:

Using the distance formula: d = √((6 - 0)² + (8 - 0)²) = √(36 + 64) = √100 = 10.

If point C is at (0, 0) and point D is at (6, 8), what is the length of segment CD?

If point C is at (0, 0) and point D is at (6, 8), what is the length of segment CD?

Step 1: Identify the coordinates of point C, which are (0, 0).
Step 2: Identify the coordinates of point D, which are (6, 8).
Step 3: Use the distance formula, which is d = √((x2 - x1)² + (y2 - y1)²).
Step 4: Substitute the coordinates into the formula: d = √((6 - 0)² + (8 - 0)²).
Step 5: Calculate (6 - 0)², which is 6² = 36.
Step 6: Calculate (8 - 0)², which is 8² = 64.
Step 7: Add the two results together: 36 + 64 = 100.
Step 8: Take the square root of 100: √100 = 10.
Step 9: The length of segment CD is 10.

Distance Formula – The distance between two points in a Cartesian plane can be calculated using the formula d = √((x2 - x1)² + (y2 - y1)²).