Solving for the Distance between two Points
Answer:
Step-by-step explanation:
Given:
[tex]S = (-3,10)[/tex]
[tex]T = (-2,3)[/tex]
Recall:
If you have the two points, [tex](a,b)[/tex] and [tex](h,k)[/tex], the distance between them, [tex]d[/tex], can be calculated as [tex]\sqrt{(a -h)^2 +(b -k)^2}[/tex].
[tex]ST = \sqrt{(-3 -(-2))^2 +(10 -3)^2} \\ ST = \sqrt{(-3 +2)^2 +(10 -3)^2} \\ ST = \sqrt{(-1)^2 +(7)^2} \\ ST = \sqrt{1 +49} \\ ST = \sqrt{50} \\ ST \approx 7.07[/tex]
