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Sagot :
Step-by-step explanation:
Pythagoras : the lengths are the hypotenuses of the right-angled triangles created by the differences of the x and the y coordinates.
so,
AB² = (0 - -3)² + (2 - 8)² = 3² + (-6)² = 9 + 36 = 45
AB = sqrt(45) ≈ 6.7
CD² = (-2 - 0)² + (2 - -4)² = (-2)² + 6² = 4 + 36 = 40
CD = sqrt(40) ≈ 6.3
The distance between AB and CD are 6.7 units and 2.8 unts respectively
How to calculate the distance between two points
The distance between two points can be calculated using the formula
D = √(x2-x1)²+(y2-y1)²
For the length of AB
Given the coordinate points A(0, 2), B(−3, 8)
D = √(-3-0)²+(8-2)²
D = √9+36
D = √45
AB = 6.7units
Similarly for the length CD
Given the coordinate points C(-2, 2), D(0, 4)
D = √(-2-0)²+(4-2)²
D = √4+4
D = √8
AB = 2.8units
Learn more on distance formula here: https://brainly.com/question/661229
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