|
The infographic below shows a triangle
ABC with the excenters E1, E2, and E3.
O1, O2, and O3 are
the circumcenters of triangles E1BC, E2AC,
and E3AB, respectively. If S1, S2, and
S3 are the areas of triangle E1E2E3,
hexagon AO3BO1CO2,
and triangle O1O2O3,
respectively, prove that
S1 = 2.S2 = 4.S3
|
