how do you find an orthrocenter, centroid, and circumcenter of a triangle?

Answer 1

Othocenter:

Draw the three altitudes of the triangle. These are the lines that pass through one vertex and are perpendicular to the opposite side. Where these intersect you have the Orthocenter.

Centroid

Draw the three medians of the triangle. These are the lines that pass through a veryex and intersect the center of the opposite side. Where these lines intersect you have the Centroid.

Circumcenter

Draw lines that are perpendicular to each side of the triangle, and bisect each side. Where these perpendicular bisectors intersect you have the circumcenter.

Answer 2

The centroid is the intersection of the three medians of the triangle.

The orthocenter is the intersection of the three altitudes of the triangle.

The circumcenter is the intersection of the three perpendicular bisectors of the three sides of the triangle.

Answer 3

orthocenter - intersection of altitudes (altitude - straight line through a vertex and perpendicular to the opposite side)

centroid - intersection of medians (median - line joining a vertex to the midpoint of the opposing side)

circumcenter - intersection of the three perpendicular bisectors. ( perpendicular bisector - a line that forms a right angle with one of the triangle's sides and intersects that side at its midpoint)