The Distance Between (0, 2) and (4, 5)

Referenced from lesson The Distance Formula (Spring, 2021)

The distance between $\displaystyle x_{1}$ and $\displaystyle x_{2}$ is computed by . The distance between $\displaystyle y_{1}$ and $\displaystyle y_{2}$ is computed by line-length(y1, y2). Below is the equation to compute the hypotenuse of a right triangle with those amount for legs:

$\displaystyle \sqrt{line\mbox{-}length(x_{2}, x_{1})^2 + line\mbox{-}length(y_{2}, y_{1})^2}$

Suppose your player is at (0, 2) and a character is at (4, 5). What is the distance between them? With your pencil, label which numbers represent $\displaystyle x_{1}$ , $\displaystyle y_{1}$ , $\displaystyle x_{2}$ and $\displaystyle y_{2}$ . The equation to compute the distance between these points is:

$\displaystyle \sqrt{line\mbox{-}length(4, 0)^2 + line\mbox{-}length(5, 2)^2}$

1. Translate the expression above, for (0,2) and (4,5) into a Circle of Evaluation below.

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2. Convert the Circle of Evaluation to Code below.

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