What is an obtuse triangle?
An obtuse triangle is a triangle where one interior angle is greater than 90 degrees. One can clearly see that the angle with vertex E is greater than 90 degrees. What is a right triangle? A right triangle is a triangle where one interior angle is equal to 90 degrees. One can observe that the angle with vertex H is equal to 90 degrees. _______________________________________________________________________________________________________________________________ Now, let’s construct the centroid, orthocenter, circumcenter, and incenter for each of the above triangles. First, let’s review the definitions of each center of a triangle and then witness each construction: Centroid (J) – the common intersection of the three medians. A median of a triangle is the segment from a vertex to the midpoint of the opposite side. Orthocenter (K) – the common intersection of the three lines containing the altitudes. An altitude is a perpendicular segment from a vertex to the line of the opposite side.
