Question

Find the distance between the points (9,8) and (1,-2)

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{9}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})\qquad \qquad % distance value d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((1-9)^2+(-2-8)^2)\implies d=√((-8)^2+(-10)^2) \\\\\\ d=√(64+100)\implies d=√(164)\implies d=√(4\cdot 41)\implies d=√(2^2\cdot 41) \\\\\\ d=2√(41)`