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
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
