Question

calcule q distância entre os pontos

A)

K(-3, 5)
L (3, 13)

B)

C (-1, 3)
L (1, -1)
​

Answer 1

Resposta:

A) 10
B) 5$\sqrt{2}$

Explicação passo a passo:

A) K(-3, 5) e L (3, 13)

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

$D^{2} = \sqrt{(3-(-3))^{2}+(13-5)^{2}}$

$D^{2} = \sqrt{(3+3)^{2}+(13-5)^{2}}$
$D^{2} = \sqrt{(6)^{2}+(8)^{2}}$

$\sqrt{D} = \sqrt{(36+64)}}$
$\sqrt{D} = \sqrt{(100)}$
D=10

B) C (-1, 3) e L (1, -1)

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

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

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

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

$\sqrt{D} = \sqrt{(4+16)}}$

$\sqrt{D} = \sqrt{20}}$

D = 5$\sqrt{2}$