Find missing point of Isosceles triangle by knowing all sides and angles in 3D

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I have some problems finding the missing point of the isosceles triangle. I have known 2 points P(2,6,1) and Q(-1,3,5) and all sides and all angles of it. But when I'm trying to find another point O(x,y,z) by using its distance to each known point, I can get the 3 to 4 equations but those equations when subtracting it, it showed 0 = 0 in which infinite answer. Is there any way to solve this problem? Thank you