Question

calcular a distancia entre dois pontos: (1 sobre 3 ,2 sobre 5 ) e 1 sobre 6, 2 sobre 10) ??? (raiz de 3 , 2 ) e - 8 raiz de 2 , 1)???

Answer 1

$<var>1) A(\frac{1}{3},\frac{2}{5})\ e\ B(\frac{1}{6},\frac{1}{5})\\D=\sqrt{(\frac{1}{3}-\frac{1}{6})^2+(\frac{2}{5}-\frac{1}{5})^2}\\D=\sqrt{(\frac{2-1}{6})^2+(\frac{2-1}{5})^2}\\D=\sqrt{(\frac{1}{6})^2+(\frac{1}{5})^2}\\D=\sqrt{\frac{1}{36}+\frac{1}{25}}\\D=\sqrt{\frac{36+25}{900}}\\D=\sqrt{\frac{61}{900}}\\\\D=\frac{\sqrt{61}}{30}</var>$

 

$<var>A(\sqrt3,2)\ e\ B(-8\sqrt2,1)\\\\D=\sqrt{(\sqrt3)+8\sqrt2)^2+(2-1)^2}\\D=\sqrt{(3+8^2*2)+1^2}\\D=\sqrt{3+64*2+1}\\D=\sqrt{3+128+1}\\D=\sqrt{132}\\\\D=2\sqrt{33}</var>$