Question

CALCULE A DISTÂNCIA ENTRE OS PONTOS:

A) (1, -3) e B (-2,1)
B) C (5, -3) e D (3, -5)
C) E (-4, -2) e F (-6, -4)
D) G (3, -2) e H (-1,2)
E) I (-2,7) e J (3,5)​

Answer 1

a)

$d = \sqrt{( - 3 - 1) { }^{2} +(1 - ( - 2)) {}^{2} }$

$d = \sqrt{( - 4) {}^{2} + (3) {}^{2} }$

$d = \sqrt{16 + 9}$

$d = \sqrt{25}$

$d = 5$

b)

$d = \sqrt{(( - 3) - 5) {}^{2} + (( - 5) - 3 ){}^{2} }$

$d = \sqrt{( - 8) {}^{2} + ( - 8) {}^{2} }$

$d = \sqrt{64 + 64}$

$d = \sqrt{128}$

$d = 8 \sqrt{2}$

c)

$d = \sqrt{(( - 2) - ( - 4)) {}^{2} + (( - 6) - ( - 4)) {}^{2} }$

$d = \sqrt{2 { }^{2} + 2 {}^{2} }$

$d = \sqrt{4 + 4}$

$d = \sqrt{8}$

$d = 2 \sqrt{2}$

d)

$d = \sqrt{(( - 2) - 3) {}^{2} + (2 - ( - 1)) {}^{2} }$

$d = \sqrt{( - 5) {}^{2} + 3 {}^{2} }$

$d = \sqrt{25 + 9}$

$d = \sqrt{34}$

e)

$d = \sqrt{(7 - ( - 2)) {}^{2} + (5 - 3) {}^{2} }$

$d = \sqrt{9 { }^{2} + 2 {}^{2} }$

$d = \sqrt{81 + 4}$

$d = \sqrt{85}$