Examine the following problem from a Facebook group:

Takeaway
Let be a non-right triangle with side-lengths
, and let
be as defined in today’s post. Then the following statements are equivalent:
.
Task
- Let
be a triangle with vertices at
,
, and
. Let
be as defined in today’s post.
- Find the coordinates of
- Verify that
, where
is the circumradius.
- Find the coordinates of