Dynamic Geometry
While completing my qualification exams I came across the following reference I had used in previous papers.
Cuoco, A.A., Goldenberg, E. P. (1996) Technology in Mathematics Education. Journal of Education. 178 (2)15-32
It starts with a fairly simple process:
Create any triangle ABC like the one shown with P as a random point on AB
From there construct DP perpendicular to AC and EP perpendicular to CB
Connect DE to create triangle DEP
Question: Where should P be located along AB to minimize DE?