Function Definitions

[edit] Rectangular Coordinates

This defines a right triangle and can be used to determine if the coordinates define a right triangle.

$a^2 + b^2 = c^2$

$d^2= {|x_{2} - x_{1}|}^2 + {|y_{2} - y_{1}|}^2$

Simplified as

$d= \sqrt{{|x_{2} - x_{1}|}^2 + {|y_{2} - y_{1}|}^2}$

Simplified even more as this

$d= \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}$

$Midpoint = \left(\frac{x_{1} + x_{2}}{2} , \frac{y_{1} + y_{2}}{2}\right)$