Function Definitions

Rectangular Coordinates

Pythagorean Theorem

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

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

Distance Formula

$d^2={|x_2-x_1|}^2+{|y_2-y_1|}^2$

Simplified as

$d=\sqrt{{|x_2-x_1|}^2+{|y_2-y_1|}^2}$

Simplified even more as this

$d=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

Line Midpoint Formula

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$