Question

Find the distance of the longer side created by connecting coordinates (5,2) and

(12,-5). Use the pythagorean theorem a^2 + b^2 = c^2 or the distance formula:
d = √√(x₁ - x₂)² + (y₁ - y₂)²
7
9.90
11.62
14

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{12}~,~\stackrel{y_2}{-5})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~12 - 5~~)^2 + (~~-5 - 2~~)^2) \implies d=√(( 7 )^2 + ( -7 )^2) \\\\\\ d=√( 49 + 49 ) \implies d=√( 98 )\implies d\approx 9.90`