This is a paragraph.

A sample problem from social media I

Examine the following problem from a Facebook group:

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

Sample solution here .


Let ABC be a non-right triangle with side-lengths a,b,c, and let T_b be as defined in today’s post. Then the following statements are equivalent:

  1. OT_b=\frac{2R^2}{a}
  2. (b^2-a^2)^2=(ac)^2+(cb)^2.


  • Let ABC be a triangle with vertices at A(-6,0), B(0,0), and C(2,4). Let T_b be as defined in today’s post.
    1. Find the coordinates of T_b
    2. Verify that AT_b=2R=CT_b, where R is the circumradius.