Question

Determine a distância entre os pontos : a) A ( -3 , 4 ) e B ( 5 , -2 ) b) C ( 7 , 2 ) e D ( -5 , -3 0​

Answer 1

Explicação passo-a-passo:

.

a) A ( -3 , 4 ) e B ( 5 , -2 )

A ( -3 , 4 )

xa=-3

ya=4

B ( 5 , -2 )

xb=5

yb=-2

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

$d = \sqrt{( - 3 - 5) {}^{2} + (4 - ( - 2) {}^{2} }$

$d = \sqrt{( - 3 - 5) {}^{2} + (4 + 2) {}^{2} }$

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

$d = \sqrt{64 + 36}$

$d = \sqrt{100}$

$d = 10$

.

C ( 7 , 2 ) e D ( -5 , -3 0)

C ( 7 , 2 )

xa=7

ya=2

D ( -5 , -3 0)

xb=-5

yb=-30

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

$d = \sqrt{(7 - ( - 5) {}^{2} + (2 - ( - 30) {}^{2} }$

$d = \sqrt{(7 + 5) {}^{2} + (2 + 30) {}^{2} }$

$d = \sqrt{(12) {}^{2} + (32) {}^{2} }$

$d = \sqrt{144 + 1024}$

$d = \sqrt{1168}$

$d = 4 \sqrt{73}$