Draw three straight lines through a standard capital "H" so that the resulting figure contains seven...

geometry/construction/h.seven.triangles New

New entry, edited from material collected for the archive and not yet in a released version.

Problem

Draw three straight lines through a standard capital "H" so that the
resulting figure contains seven disjoint triangular regions.

Show solution

I can't draw it to scale, but here's how to do it:  Connect a-to-a,
b-to-b, and c-to-c, being sure to continue the b and c lines down
to the left until they intersect.  It's easiest to do/see with a
*large* H, using a straight-edge.

      *           a
      *           b
      *           *
      *           *
      *           c
      * * * * * * *
      *           *
      b           *
      c           *
      *           *
      a           *

-- Pete Mitchell <pwm@mv.mv.com>