All Triangles are Equilateral

Interactive construction of Numberphile's "All Triangles are Equilateral" proof [url]https://www.youtube.com/watch?v=Yajonhixy4g[/url] Drag A,B,C to adjust triangle. Measurements of BB*, CC*, and the two pairs of equal-length line segments are labeled.

Drag the points. Can you get both B* and C* both inside or both outside the triangle at the same time?