alwaysgoldiee9420 alwaysgoldiee9420
  • 20-05-2021
  • Mathematics
contestada



Który odcinek jest dłuższy, AB czy CD, jeśli: A = (7, -1), B = (2, 11),

C = (-8, – 3), D = (4, - 3)?

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 21-05-2021

Odpowiedź:

AB

Wyjaśnienie krok po kroku:

Biorąc pod uwagę współrzędne A = (7, -1), B = (2, 11), C = (-8, - 3), D = (4, - 3), chcemy wiedzieć, który segment ma dłuższy odcinek

Korzystanie ze wzoru na odległość

AB = √ (11 + 1) ² + (2-7) ²

AB = √12² + 5²

AB = √144 + 25

AB = √169

AB = 14 jednostek

Podobnie;

CD = √-3 - (- 3)) ² + (4 - (- 8)) ²

CD = √0² + 12²

CD = √12²

CD = 12 jednostek

Ponieważ AB> CD, stąd długość AB ma większą długość

Answer Link

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