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The endpoints of two segments are given. Find each segment length to the nearest tenth. AB¯¯¯¯¯¯¯¯: A(0, 2), B(−3, 8) and CD¯¯¯¯¯¯¯¯: C(−2, 2), D(0,−4)

Sagot :

Reinhard10158idn

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

Abidemiokinidn

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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