Perpendicular Length/Distance Definition:
This is used to generate the Length of the perpendicular from
point(x_{1}, y_{1}) to the line Ax + By + C = 0.
Length of the perpendicular Formula:
Perpendicular Length/Distance
where
(x_{1}, y_{1}) is the given point,
Ax + By + C = 0 is the given equation.
Perpendicular Length/Distance Diagram
Length of the perpendicular Example:
Find the length of the perpendicular from the point (4,3) on the line x + 2y + 5 = 0.
x_{1} = 4, y_{1} = 3,
A = 1, B = 2, C = 5
Substitute in the formula as :
Length of the perpendicular = 3
The above example will clearly illustrates how to calculate the Perpendicular Length/Distance manually.