**Problem : **
In what kind of triangle is the orthocenter also the circumcircle?

**Problem : **
In what kind of triangle is the centroid also the incircle?

**Problem : **
What does it say about a triangle if one of its sides is also an
altitude

**Problem : **
What must be true of a triangle if its circumcenter lies in the interior of the
triangle?

**Problem : **
If segments AD and BF are medians of triangle ABC, how long is segment AD?

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