Question

calcule a distancia entre os pontos no plano cartesiano .
a) (1,3) e (4,-2)
b) (-7,6) e (6,-3)​

Answer 1

a) (1,3) e (4,-2)

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

$d = \sqrt{(4 - 1) ^{2} + ( - 2 - 3) ^{2} }$

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

$d = \sqrt{9 + 25}$

$\boxed{\orange{d = \sqrt{34} }}$

b) (-7,6) e (6,-3)

$d = \sqrt{(6 + {7)}^{2} + ( - 3 - {6)}^{2} }$

$d = \sqrt{( {13)}^{2} + ( { - 9)}^{2} }$

$d = \sqrt{169 + 81}$

$d = \sqrt{250}$

$\boxed{\orange{d = 5\sqrt{10} }}$

Espero ter ajudado!