Question

Dados os pontos A(1,3), B(3,3), e C(3,0), calcule:

a) dA,c
b) dB,c
c) dA,c

Me ajudem pfv!!! ​

Answer 1

Resposta:

Vamos lá! Utilize a fórmula de distância para calcular esses medidas de comprimento:

Segue exemplo de como você resolver esses probleminhas:

$AC_{distancia} \\\\d=\sqrt{(xc-xa)^{2}+(yc-ya)^{2} } \\\\d=\sqrt{(3-1)^{2}+(0-3)^{2} } \\\\d=\sqrt{(2)^{2}+(-3)^{2} }\\\\d=\sqrt{4+9}\\\\d=\sqrt{13}\\\\d=3,6u.c\\\\\\BC_{distancia} \\\\d=\sqrt{(xc-xb)^{2}+(yc-yb)^{2} } \\\\d=\sqrt{(3-3)^{2}+(0-3)^{2} } \\\\d=\sqrt{(0)^{2}+(-3)^{2} }\\\\d=\sqrt{9}\\\\d=3u.c\\\\\\AB_{distancia} \\\\d=\sqrt{(xb-xa)^{2}+(yb-ya)^{2} } \\\\d=\sqrt{(3-1)^{2}+(3-3)^{2} } \\\\d=\sqrt{(2)^{2}+(0)^{2} }\\\\d=\sqrt{4}\\\\d=2u.c$

Bons estudos!!!