Given an ordered pair 1:
[tex]\mleft(x,y\mright)[/tex]And a distinct ordered pair 2:
[tex](x,y)[/tex]You can rewrite them as:
[tex]\begin{gathered} (x_1,y_1) \\ \\ (x_2,y_2) \end{gathered}[/tex]According to the Pythagorean Theorem, for Right Triangles:
[tex]c=\sqrt[]{a^2+b^2}[/tex]Where "c" is the hypotenuse and "a" and "b" are the legs of the Right Triangle.
Then, you can set up that:
Then, to find the hypotenuse of the Right Triangle or the distance "d" between the points, you can apply the Pythagorean Theorem and set up that:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Therefore, the answer is:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
