Question

Calculena distância entre pontos
A) A (1,2) e B((3,5)
B) A (8,11) e B (2,3)
C) M (5,2) e Q (7,2)
D) E (4,-5) e F (-8-3)

Answer 1

Resposta:

A)$\sqrt{13}$

B) 10

C) 2

D) 3$\sqrt{2}$

Explicação passo a passo:

A) A (1,2) e B(3,5)

$D^{2}=\sqrt{(xB-xA)^{2}+(yB-yA)^{2}}$

$D^{2}=\sqrt{(3-1)^{2}+(5-2)^{2}}$

 $D^{2}=\sqrt{(2)^2+(3)^{2}}$

$\sqrt{D}=\sqrt{4+9}$

$D=\sqrt{13}$

B) A (8,11) e B (2,3)

$D^{2}=\sqrt{(xB-xA)^{2}+(yB-yA)^{2}}$

$D^{2}=\sqrt{(2-8)^{2}+(3-11)^{2}}$

$D^{2}=\sqrt{(-6)^{2}+(-8)^{2}}$

$\sqrt{D}=\sqrt{36+64}$

$\sqrt{D}=\sqrt{100}$

D= 10

C) M (5,2) e Q (7,2)

$D^{2}=\sqrt{(xB-xA)^{2}+(yB-yA)^{2}}$

$D^{2}=\sqrt{(7-5)^{2}+(2-2)^{2}}\\D^{2}=\sqrt{(2)^{2}+(0)^{2}}\\\sqrt{D}=\sqrt{4$

D= 2

D) E (4,-5) e F (-8-3)

$D^{2}=\sqrt{(xB-xA)^{2}+(yB-yA)^{2}}$

$D^{2}=\sqrt{(-8-4)^{2}+(-3- (-5))^{2}}\\D^{2}=\sqrt{(-4)^{2}+(2)^{2}}\\D^{2}=\sqrt{8+4}\\\\\sqrt{D} = \sqrt{12}D=3\sqrt{2}$