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Determining XY coordinates from quadrilateral measurements

I'm trying to determine the XY coordinates of 3 corner points of a quadrilateral shape based on known lengths of the sides of that shape. I know the lengths of all 4 sides of the shape as well as the lengths of both cross lengths (effectively making two adjacent triangles). I've attached a picture to indicate the lengths of the triangles / quadrilateral shape as well as the corner of the shape that would serve as the origin of the system. I would like to find the coordinates of the 3 other corners of the shape in respect to the known XY coordinates of the origin. Any assistance would be greatly appreciated.

Re: Determining XY coordinates from quadrilateral measurements

Because you don't have right angles you should define where x-y axes are located.

Re: Determining XY coordinates from quadrilateral measurements

Sorry...D is the Y axis with C (roughly) being the X axis.

Re: Determining XY coordinates from quadrilateral measurements

Re: Determining XY coordinates from quadrilateral measurements

Thank you very much everyone, especially Soroban. That was very helpful and informative.