In an acute triangle, the altitudes intersect inside the triangle.Classify each concurrency described as being inside, outside, or on the triangle.
1. the orthocenter of an acute triangle
. . The orthocenter is inside the triangle.
In any triangle, the angle bisectors intersect inside the triangle.2. the incenter of an obtuse triangle
. . The incenter is always inside the triangle.
A right triangle can be inscribed in a semicircle.3. the circumcenter of a right triangle
Its circumcenter is the midpoint of the hypotenuse.
. . The circumcenter is on the right triangle.