Calculate coordinate in 3D triangle.

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    3d Coordinate Triangle
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SUMMARY

The discussion focuses on calculating the y-coordinate of a point D in relation to a triangle defined by vertices A, B, and C in three-dimensional space. The solution involves establishing the plane equation of the triangle, represented as ax + by + cz + d = 0. By substituting the known x and z values of point D into this equation, one can solve for the unknown y-coordinate. This method provides an efficient way to determine the position of point D on the plane of triangle ABC.

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pjhphysics
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Hi,
I'm looking for an efficient way of achieving the following, but having trouble thinking it through:

Let's say I have a triangle in three dimensions with vertices A, B and C.
Let's say I also have a three dimensional coordinate D. I know the x and z component values for D and I am trying to find the y value such that the point resides on the plane of triangle ABC.

What would be a good way of doing that?

Thanks!
 
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You could set up the plane equation

ax + by +cz + d = 0

of the plane containing the triangle ABC, insert the known (x, z) coordinates of your point D and solve for y
 
That does it. Thanks a ton
 

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