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

Question

3 years ago

5

¯¯¯¯: C(−2, 2), D(0,−4)

1 answer:

sleet_krkn [62] · Answer 1 · 2022-11-18T20:46:05+03:00

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