Given triangle ABC with no angle >120 degrees, find and construct the point P for which PA + PB + PC is a minimum. What is this point called? What would be the case for a triangle with an angle of 120 degrees or more?© BrainMass Inc. brainmass.com December 24, 2021, 4:52 pm ad1c9bdddf
Step 1:Draw the triangle A, B, C
Step 2: Construct on every side of the triangle an equilateral triangle. By this procedure the points A*, B*, C* are generated.
Step 3: Connect each of the newly constructed points A*, B*, ...
This shows how to construct a point in a triangle with given characteristics.