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asambeis [7]
2 years ago
12

Determine the length of the segment with endpoints C(1, 4) and D(11, 28).

Mathematics
1 answer:
Westkost [7]2 years ago
4 0

Answer:

26 units

Step-by-step explanation:

Given:

C(1, 4) and D(11, 28),

Required:

Length of segment CD

SOLUTION:

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find the distance between endpoints C and D.

Let,

C(1, 4) = (x_1, y_1)

D(11, 28) = (x_2, y_2)

CD = \sqrt{(11 - 1)^2 + (28 - 4)^2}

CD = \sqrt{(10)^2 + (24)^2}

CD = \sqrt{100 + 576} = \sqrt{676}

CD = 26

Length of segment CD = 26 units

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