Question

Find the distance between the given points. r(0, 0) and s(6, 8) distance =

Answer 1

$A(x_1;\ y_1);\ B(x_2;\ y_2)\\\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\---------------------\\(0;\ 0)\to x_1=0\ and\ y_1=0\\(6;\ 8)\to x_2=6\ and\ y_2=8\\\\d=\sqrt{(6-0)^2+(8-0)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10$