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The distance between two distinct points: ordered pair 1 (x , y) and ordered pair 2 (x, y) is given by the formula ____?____.(I need the formula)

Sagot :

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]

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