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stira [4]
3 years ago
5

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)
Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0

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

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