> Let ABC be a regular triangle with unit side length. > On the side BC we construct two arcs with unit radius > that intersect at point A1. Similarly we construct > arcs on sides CA, AB, that intersect at points B1, > C1, respectively. We flap up the three > quasi-triangles BCA1, CAB1, ABC1, and form a > quasi-tetrahedron. Determine the height of the > quasi-tetrahedron. > > > Best regards, > Avni
In the attachment is shown a visualization of the problem.