# Perpendicular Distance Calculator

Coordinates (x1, y1)
Coefficient of Ax+By+C
Perpendicular Distance  =  3.951
GENERATE WORK

## Perpendicular Distance - work with steps

Input Data :
Coordinates 1 (x1, y1) = (2, 3)
Equation Ax+by+c = 8x + 7y + 5

Objective :
Find what is the length of perpendicular distance?

Formula :
Perpendicular Distance = (Ax1 + By1 + C)√(A2 + B2)

Solution :
Perpendicular Distance = 8(2) + 7(3) + 5√((8)2 + (7)2)
= 16 + 21 + 5√(64 + 49)
= 42√(113)
= 4210.6301
Perpendicular Distance = 3.951

perpendicular distance calculator - step by step calculation, formula & solved example to calculate the distance from a point or coordinates (x1, y1) to line Ax + By + C = 0 in a two dimensional space or XY plane. x1, y1 is the point and the Ax + By + C = 0 is the line in the two dimensional space or XY plane.

## Formula

The below formula is used to find the perpendicular length from a point to a line. ### Solved Example

This below solved example let users to understand how the example values are being used in this calculation to determine perpendicular length from a point to line.

Problem:
Find the perpendicular distance from the point (5, 6) to a line 7x + 9y + 12 = 0.

Solution:
Let's consider x1 = 5 & y1 = 6
Apply the values in the formula
= ((7 x 5) + (9 x 6) + 12) / √(72 + 92)
= 101/√(130)
Perpendicular Length = 8.8583

Unlike most of the other calculators online, this featured geometry tool provides the complete step by step calculation for every calculations user do by using this perpendicular length calculator. This calculator along with formula & solved example calculation let users to understand, practice & verify such calculations.