CODEWITHSUNDEEP
c#c#-4.0mathalgebra
Zlex
Zlex

Reputation: 147

Finding unkown point (x,y) given 2 points and distance in c#

i just get to the point and describe my problem . Given a square not parallel to the axis !

i have (x1,y1) and (x2,y2) and the distance beetween them dx(width/height of the square) i need to find the point (x,y) describe in the photo (cant upload photo) link to the image : the problem photo

first i tried the equation (x-x1)^2 + (y-y1)^2 = dx^2 (x-x2(^2 + (y-y2)^2 = 2 dx^2 but i cant manage to solve this equation when i try to code it ,

anyone have any idea's how to solve the problem in code or another equation or solution to find the point ?.

*i using c# 4,0

Upvotes: 0

Views: 939

Answers (2)

Vlad
Vlad

Reputation: 35584

Very simple.

var dx = x2 - x1;
var dy = y2 - y1;

var rotatedDx = dy;
var rotatedDy = -dx;

x = x1 + rotatedDx;
y = y1 + rotatedDy;

Basically, you compute vector P1 -> P2 and rotate it by 90 degrees.

Upvotes: 2

Ranald Lam
Ranald Lam

Reputation: 496

You can solve it using complex numbers by representing the points on an Argand diagram. (I think)

Since its a square, the sides are equal and 90degrees apart you can do this. (Refer to dropbox picture)

https://www.dropbox.com/s/ymimimgkuzhkcub/IMAG3818.jpg?dl=0

A is point (x1, y1) with value x1 + (y1)i B is x2 + (y2)i P and Q are the locations of the 2 possible places (x, y) can be and they are x + yi. Solve the 2 equation in the picture for values of x and y.

Upvotes: 1

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