x-coordinate for specific point in a triangle
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I'm trying to find a x-coordinate for the point (x,12) in triangle. The points of the are:
A = (0.2, 10)
B = (0.5, 10)
C = (0.2, 16)
The point (x,12) is on the BC-line. Can you help me?
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Accepted Answer
Roger Stafford
on 1 Mar 2014
This is an elementary analytic geometry problem. Write an expression for the slope of the line segment between B and C, and set it equal to the slope of the line segment between B and (x,12). Then solve this equation for the unknown x. Almost no matlab needed.
3 Comments
the cyclist
on 1 Mar 2014
There are many ways to skin a cat, Lily. I agree with Roger that "almost no matlab" is needed. That being said, what you are asking for is a point along the linear interpolant of B and C, and there does exist a MATLAB function to do that:
interp1([10 16],[0.5 0.2],12)
gives the x value you want.
Roger Stafford
on 1 Mar 2014
I agree with you, cyclist, but since you have a great many more points than I do in "Answers", I will greedily accept the credit here. I admittedly have a tendency to use mathematical non-matlab methods whenever they seem reasonably simple.
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