Question

calcule a distância entre os seguintes pares de pontos:​

Answer 1

Explicação passo-a-passo:

.

a) a(1,5) e b(2,3)

a(1,5)

xa=1

ya=5

b(2,3)

xb=2

yb=3

$d = \sqrt{(xa - xb) {}^{2} + (ya - yb) {}^{2} }$

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

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

$d = \sqrt{1 + 4}$

$d = \sqrt{5}$

.

b) a(-1,2) e b(2,-2)

a(-1,2)

xa=-1

ya=2

b(2,-2)

xb=2

yb=-2

$d = \sqrt{(xa - xb) {}^{2} + (ya - yb) {}^{2} }$

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

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

$d = \sqrt{9 + 16}$

$d = \sqrt{25}$

$d = 5$

.

c) a(5,-12) e b(0,0)

a(5,-12)

xa=5

ya=-12

b(0,0)

xb=0

yb=0

$d = \sqrt{(xa - xb) {}^{2} + (ya - yb) {}^{2} }$

$d = \sqrt{(5 - 0) {}^{2} + ( - 12 - 0) {}^{2} }$

$d = \sqrt{(5) {}^{2} + ( - 12) {}^{2} }$

$d = \sqrt{25 + 144}$

$d = \sqrt{169}$

$d = 13$