Say I have a triangle with points A, B, and C, and I know the lengths of AC, AB, and BC. The triangle may or may not be a right triangle.
Example: click here, I can't embed the image since I don't have 10 reputation yet
I decide to label BC as the X axis, and a line extending through the altitude of A as the Y axis (origin is where the red line intersects with BC)
How can I find the coordinates of a point D (ideally inside OR outside the triangle if possible) with just side lengths of the triangle and distances AD, BD, and CD?
I understand basic trigonometry and basic hyperbolic equations, but can't find a solution. An explanation would be awesome. Thank you!