Perpendicular Length Calculator (Distance)

Perpendicular Length is defined as the length of the perpendicular from point (x1, y1) to the line Ax+By+C=0

Table of Contents:

Formula

Perpendicular Length/ Distance
(+ - )Ax1+By1+C /√A²+B²

Examples:
Find the length of the perpendicular from the point (2,3) on the line x + 2y + 5 = 0.
x1 = 2, y1 = 3,
A = 1, B = 2, C = 5

Apply Formula:
(+ - )Ax1+By1+C /√A²+B²
(1*2)+ (2*3)+5/√1²+2²
=2+6 +5 /√1+4
=13/√5
=13/2.23
=5.28 or 6

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