Question

What is the distance between the points G(−5, 4) and H(2, 6)?

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ G(\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad H(\stackrel{x_2}{2}~,~\stackrel{y_2}{6})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ GH=√([2-(-5)]^2+[6-4]^2)\implies GH=√((2+5)^2+(6-4)^2) \\\\\\ GH=√(7^2+2^2)\implies GH=√(49+4)\implies GH=√(53)\implies GH\approx 7.28`