Intersecting point

I know the coordinates of point1 and point2. I also know the length of the two sides. But how do I get that intersection, and can I express it with a Dynamo node?

Draw a circle at each point using the associated length. Intersect circle 1 and circle 2. Each of the two points formed will both form like triangles with the original two points.

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thank you for your reply

Point1 is Point(X = 569.092, Y = 15235.882, Z = 25100.387)

Point2 is Point(X = 569.092, Y = 5205.675, Z = 20147.981)

it is very complex coordinate… how can i draw circle??

Surfaces of spheres instead then. Any point on either the line forms a triangle as noted before.

As you explain the problem though it makes it clear you likely ought to be approaching this differently.

You need an up direction otherwise the plane is indeterminate and you wont be able to solve such a problem. Cardinal Z axis?

Example of the sphere method I was referring to:

As Thomas noted we can’t give you ONE triangle as there are infinite triangles to work with, and so we need a plane to clarify which one you’re after.

Thank you for your Solution. i will try this!