Question

different types of centers of triangles. How are they constructed? Do they differ?

Answer 1

all i know is this:

- perpendicular bisectors, circumcenters- circumcenter is created by perpendicular bisector and has a circle that goes around the triangle.
- angle bisector, intercenter- intercenter is created by the intersection of the triangle of the angle bisector, then the heights from the intercenter to the triangle sides are drawn and a circle is inscribed in the triangle, intercenter is always inside the triangle.
- medians, centroids- the centroid is created from the intersection of the medians and is the center of gravity of the triangle, centroid is always inside the triangle.
- altitudes, orthocenter- otheocenter is created from the altitudes of the triangle and can be outside, inside or on the triangle.

is my information so far right, and can you help me with the other things i need to know

Answer 2

You might find this site useful: http://www.mathopenref.com/triangleorthocenter.html