line-segment.md

Line Segment: Length and Center

Line segment has its:

• start at $(x_1,y_1)$
• end at $(x_2,y_2)$

Length

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

it derives from Pythagorean theorem:

$C^2=A^2+B^2$
$|AB{|}^2=|AC{|}^2+|BC{|}^2$
$|AB|=\sqrt{|AC{|}^2+|BC{|}^2}$

Center

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

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