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How do you calculate the cartesian coordinate of 3rd corner on a triangle if you have the lengths of all three sides plus the coordinates of the other two corners?
Wiki User
∙ 13y ago
With the distance formula.
Call the points A, B, and C. Call the sides ab, bc, and ca.
If we know where points A and B are, we can figure out the location of point C.
We use two distance formulas. The length of cb and the location of B will give us a set of points an equal distance from point B (a circle with center at B). The length of ca and the location of A will give us a set of points an equal distance from point A (a circle with center at A).
The intersection of these two sets (set the distance formulas equal to each other, or otherwise solve for the solution of a set of equations) will be the two possibilities of the vertex C.
Wiki User
∙ 13y ago
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