Question

gente me ajudem por favor!!!

Calcule a Distancia entre os pontos:

(a) A= (1,5) e B=(3,11)
(b) C=(6,2) e D=(-6,7)
(c) E=(-8,4) e F=(-5,-2)
(d) G=(2,1) e H=(0,1/2)

Answer 1

(a) A = (1,5) e B ( 3,11 )

d^2 = (x2- x1) + (y2 - y1)
d^2 = (3 - 1)^2 + (11 - 5)^2
d^2 = (2)^2 + (6)^2
d^2 = 4 + 36
d^2 = 40
d = \/40
d = \/4x10
d = 2.\/10

(b) C =(6,2) e D = (-6,7)

d^2 = (x2 - x1)^2 + (y2 - y1)^2
d^2 = (-6 - 6)^2 + (7 - 2)^2
d^2 = ( -12)^2 + (5)^2
d^2 = 144 + 25
d^2 = 169
d = \/169
d = 13

(c) E = (-8,4) e F(-5,-2)

d^2 = (x2 - x1)^2 + (y2 - y1)^2
d^2 = (-5 -(-8))^2 + (-2 - 4)^2
d^2 = (-5 + 8)^2 + ( -6)^2
d^2 = (3)^2 + 36
d^2 = 9 + 36
d^2 = 45
d = \/45
d = \/9x5
d = 3.\/5

(d) G = (2,1) e H = (0,1/2)

d^2 = (x2 - x1)^2 + (y2 - y1)^2
d^2 = (0 - 2)^2 + (1/2 - 1)^2
d^2 = (-2)^2 + (1/2 - 2/2)^2
d^2 = 4 + (-1/2)^2
d^2 = 4 + 1/4
d^2 = 16/4 + 1/4
d^2 = 17/4
d^2 = 4,25
d = \/4,25
d = 2,06