Question

Determine a distância entre os pontos A e B, em centímetros, sabendo que suas coordenadas são A=(2,3) e B=(-2,-2).

A - 4,9cm
B - 4,15cm
C - 6,4cm
D - 6cm
E - 4,1cm

Answer 1

Olá !

Resolução :

$\mathsf{D_{ab} =\sqrt{(Xb - Xa)^{2} + (Yb - Ya)^{2}}} \\\\\\ \mathsf{ D_{ab} =\sqrt{(-2 - 2)^{2} + (-2 - 3)^{2}}} \\\\\\ \mathsf{ D_{ab} =\sqrt{(-4)^{2} + (-5)^{2}}} \\\\\\ \mathsf{ D_{ab} =\sqrt{(16 + 25)}} \\\\\\ \mathsf{ D_{ab} =\sqrt{41}} \\\\\\ \mathsf{ D_{ab} = 6,4~~aproximadamente}$

$\textbf{RESPOSTA ~~:}$

$\mathsf{~~C)~~6,4~~cm~~}$