Tool or software able to find the length of the sides

[hgphtgi]

Hello there!

I'm looking for such a tool or software able to find the length of the sides ( xa, xb, xc and xd ) each time i moved the point x, hint that a, b, c and d are fixed and known

please help me this is the last problem in my project
REGARDS

 

[CWatters]

Do I get a mark for working out that this is to do with suspending a TV camera over a football pitch? Well even if it isn't let's pretend it is..

Best approach I reckon is to assume that the plane abcd is the pitich or rather a plane the same size raised above it. Let's call that the xy plane. The camera is then at position x,y,z where z is the height above the pitch (or below the suspension points abcd depending on how you look at it)

Pick one of the points (eg "a" as the origin).

Then pythagorous says the length of the "a-camera" wire is given by

(a-camera)² = x² + y² +z²

The rest I'll leave to you.

 

[hgphtgi]

thanks a lot CWatters

sorry i am study diploma ( 1 sem ), i mean i am not an expert u know. please help me to get the solution.

regards

 

[haruspex]

You haven't indicated how you control or know the position x. If you know its x, y, z coordinates relative to a, b, c and d then just apply Pythagoras' Theorem as already suggested. If not, what?
Btw, the four distances are related by xa² + xd² = xb² + xc².

 

[hgphtgi]

You haven't indicated how you control or know the position x. If you know its x, y, z coordinates relative to a, b, c and d then just apply Pythagoras' Theorem as already suggested. If not, what?
Btw, the four distances are related by xa² + xd² = xb² + xc².

tnx haruspex for ur reply

in fact i know the height of point x, however i am not expert in mathematics, can you please support your answer with an example.

sorry friend but i hv no choice to understand except this way

regards

 

[CWatters]

If you can't understand pythagorous then this is going to be very difficult.

Start with a 2D problem..

Draw a rectangle on the ground with sides x and y. Then the length of a diagonal d is given by pythagorous as

d²=x² + y²

or d= sqrt(x² + y²)

Now imagine you have a pole with a point Z on it stuck in the ground at corner x,y. Draw the triangle from the origin 0,0,0 to x,y,0 to x,y,z and back to the origin. Note it has sides of length d and z

The length of the "3D diagonal" big D from the origin (0,0,0) to (x,y,z) is given by

D²= d² + z²

but we know d² = x² + y²

so D²= x² + y² + z²

This gives you the length of one of the wires from the origin to point z.

eg

D = Sqrt(x² + y² + z²)Working out the length of the other wires in terms of x,y,z is only slightly more complicated