Question

Find the distance between the two points K(-7,5), H(5,7)

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ K(\stackrel{x_1}{-7}~,~\stackrel{y_1}{5})\qquad H(\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ KH=√([5-(-7)]^2+[7-5]^2)\implies KH=√((5+7)^2+(7-2)^2) \\\\\\ KH=√(144+4)\implies KH=√(148)\implies KH\approx 12.17`