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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

Perpendicular Length Calculator

Table of Contents:

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    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