Examine the following problem from a Facebook group:

Solve the above problem. (See below for enlarged image.)

Sample solution here .

## 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.