Question

Determine as distancias os seguintes pontos ^^

a) P (4,3) e Q (7,3)

b) P (4,7) e R (4,3)

c) A (-7,-5) e B (5,0)

d) M (4,-1) e N (4,1)

Answer 1

Olá,

a)

d(P,Q) = √(x-x₀)²+(y-y₀)² = √(7-4)²+(3-3)² = √(3)²+(0)² = √9 = 3
d(P,Q) = 3

b)

d(P,Q) = √(x-x₀)²+(y-y₀)² = √(4-4)²+(3-7)² = √(0)²+(-4)² = √16 = 4
d(P,Q) = 4

c)

d(A,B) = √(x-x₀)²+(y-y₀)² = √(5-(-7))²+(0-(-5))² = √(5+7)²+(0+5)² 
d(A,B) = √(12)²+(5)² = √144+25 = √169 = 13
d(A,B) = 13

d)

d(M,N) = √(x-x₀)²+(y-y₀)² = √(4-4)²+(1-(-1))² = √(0)²+(1+1)² = √(2)²
d(M,N) = √(2)² = √4 = 2
d(M,N) = 2