The lengths of each line segment are listed below:
- AB ≈ 5.385
- CD ≈ 5.099
- EF ≈ 6.083
How long is each line segment?
In this problem we find three line segments, of which the coordinates of all ends are known, and we must determine the lengths of each segment, task to be done by applying Pythagorean theorem.
If we know that A(x, y) = (0, 2), B(x, y) = (5, 4), C(x, y) = (- 6, 0), D(x, y) = (- 7, 5), E(x, y) = (- 5, - 8), F(x, y) = (- 6, - 2), then the length of each segment is:
AB = √[(5 - 0)² + (4 - 2)²]
AB = √(5² + 2²)
AB = √(25 + 4)
AB = √29
AB ≈ 5.385
CD = √[[- 7 - (- 6)]² + (5 - 0)²]
CD = √[(- 1)² + 5²]
CD = √(1 + 25)
CD = √26
CD ≈ 5.099
EF = √[[- 6 - (- 5)]² + [- 2 - (- 8)]²]
EF = √[(- 1)² + 6²]
EF = √(1 + 36)
EF = √37
EF ≈ 6.083
To learn more on Pythagorean theorem: https://brainly.com/question/14930619
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