6
$\begingroup$

This question is related to one of my previous questions.

The answer to that question included a theorem: "The median on the hypotenuse of a right triangle equals one-half the hypotenuse".

When I wrote the answer out and showed it a friend of mine, he basically asked me how I knew that the theorem was true, and if the theorem had a name.

So, my question:

-Does this theorem have a name?
-If not, what would be the best way to describe it during a math test? Or is it better to write out the full prove every time?

  • 4
    I independently proved it in fifth grade and my math teacher organized a column in the school newspaper which referred to the theorem using my surname.2012-11-19
  • 0
    If you inscribe a right angled triangle in a circle, namely it's circumcircle, the median is the same as the radius of the circle and the hypotenuse is the diameter.2012-11-19
  • 1
    One could call it the converse of the [Theorem of Thales.](http://en.wikipedia.org/wiki/Thales%27_theorem)2012-11-19

5 Answers 5