Question

Calcule a distância entre os pontos A e B nos seguintes casos a) A(3,1) e B(6,5). b) A(-1,2) e B (5,10)

Answer 1

Resposta:

$a)dAB=\sqrt{(x_{b}-x_{a})^{2} +(y_{b}-y_{a})^{2}}\\dAB=\sqrt{(6-3)^{2} +(5-1)^{2}}\\dAB = \sqrt{(3)^{2} +(4)^{2}}\\dAB=\sqrt{9+16}\\dAB=\sqrt{25}\\dAB=5\\\\b)dAB=\sqrt{(x_{b}-x_{a})^{2} +(y_{b}-y_{a})^{2}}\\dAB=\sqrt{(5+1)^{2} +(10-2)^{2}}\\dAB=\sqrt{(6)^{2} +(8)^{2}}\\dAB=\sqrt{36+64}\\dAB=\sqrt{100}\\dAB=10$

Explicação passo-a-passo: