If point C(0, 0) and point D(6, 8) are endpoints of a line segment, what is the

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

Options:

Correct Answer: 10

Solution:

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

If point C(0, 0) and point D(6, 8) are endpoints of a line segment, what is the length of CD?

If point C(0, 0) and point D(6, 8) are endpoints of a line segment, what is the length of 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 results from Step 5 and Step 6: 36 + 64 = 100.
Step 8: Take the square root of 100: √100 = 10.
Step 9: The length of line segment CD is 10.

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