View Single Post
  #2  
Old June 24th, 2009, 08:42 AM
Soroban Soroban is online now
Super Member

 
Join Date: May 2006
Location: Lexington, MA (USA)
Posts: 8,008
Thanks: 559
Thanked 5,100 Times in 4,085 Posts
Soroban has a reputation beyond reputeSoroban has a reputation beyond reputeSoroban has a reputation beyond reputeSoroban has a reputation beyond reputeSoroban has a reputation beyond reputeSoroban has a reputation beyond reputeSoroban has a reputation beyond reputeSoroban has a reputation beyond reputeSoroban has a reputation beyond reputeSoroban has a reputation beyond reputeSoroban has a reputation beyond repute
Default

Hello, mohammad.ashtari!

Quote:
I have a triangle in 3-space.
I know the coordinates for two of its vertices A(1,2,3) and B(-1,-2,-3).
I also know all the angles of the triangle and all the AB, AC and BC lengths.

How can I find the x, y and z coordinates for the last vertex C?
There is an infinite number of solutions . . .


With the given information, you can locate a vertex C.
Code:
            C
            *
           *  *
          *     *
         *        *
        *           *
       *              *
    --*--*--*--*--*--*--*--
      A                 B

But the triangle can be revolved about the side AB.

Reply With Quote