## Distance Between a Triangle and a Line Segment

Version 1.0.0 (1.28 KB) by
Finds the shortest distance between a triangle and a line segment in 3d space.

Updated 20 Jan 2023

This function finds the shortest distance between a triangle and a line segment in 3d space using nonlinear constrained optimization.
function d=DistanceTriangleLine(vt1,vt2,vt3,vl1,vl2)
where:
vt1 is (3*1) coordinate vector for the first vertex of the triangle.
vt2 is (3*1) coordinate vector for the second vertex of the triangle.
vt3 is (3*1) coordinate vector for the third vertex of the triangle.
vl1 is (3*1) coordinate vector for the first point of the line segment.
vl2 is (3*1) coordinate vector for the second point of the line segment.
d is the shortest distance between the triangle and the line segment.

### Cite As

Ayad Al-Rumaithi (2023). Distance Between a Triangle and a Line Segment (https://www.mathworks.com/matlabcentral/fileexchange/123615-distance-between-a-triangle-and-a-line-segment), MATLAB Central File Exchange. Retrieved .

##### MATLAB Release Compatibility
Created with R2017b
Compatible with any release
##### Platform Compatibility
Windows macOS Linux