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

Referenced from lesson The Distance Formula

The distance between $\displaystyle x_{1}$ and $\displaystyle x_{2}$ is computed by (line-length x1 x2). 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:

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

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 $\displaystyle x_{y}$ . The equation to compute the distance between these points is:

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

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.

These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, and 1738598). Bootstrap:Algebra by Emmanuel Schanzer, Jen Poole, Ed Campos Jr, Flannery Denny, and Dorai Sitaram is licensed under a Creative Commons 4.0 Unported License. Based on a work at www.BootstrapWorld.org. Permissions beyond the scope of this license may be available by contacting schanzer@BootstrapWorld.org.