Referenced from lesson The Distance Formula

The distance between x_1$\displaystyle x_{1}$ and x_2$\displaystyle x_{2}$ is computed by (line-length x1 x2). The distance between y_1$\displaystyle y_{1}$ and y_2$\displaystyle y_{2}$ is computed by (line-length y1 y2). Below is the equation to compute the hypotenuse of a right triangle with those amount for legs:

√( line\mbox-length(x_2, x_1)^2 + line\mbox-length(y_2, y_1)^2 )$\displaystyle \sqrt{line\mbox{-}length(x_{2}, x_{1})^2 + line\mbox{-}length(y_{2}, y_{1})^2}$

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 x_1$\displaystyle x_{1}$, y_1$\displaystyle y_{1}$, x_2$\displaystyle x_{2}$ and y_2$\displaystyle y_{2}$. The equation to compute the distance between these points is:

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

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

2. Convert the Circle of Evaluation to Code below.

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