The orthocenter of a triangle can be found using two main methods. We can sketch the heights of the triangle and find the point of intersection. Alternatively, we can find the coordinates of the orthocenter algebraically. In this article, we will learn how to find the...

The circumcenter of a triangle can be found using five different methods. Three methods consist in using different algebraic and geometric techniques to determine the equations of the perpendicular bisectors and determine the point of intersection. The fourth method...

The orthocenter of a triangle is a point that represents the intersection of the three heights of the triangle. In turn, the heights are the perpendicular lines that connect the vertices with their opposite sides. In this article, we will learn about the orthocenter...

The centroid of a triangle is a point that represents the intersection of the three medians of the triangle. On the other hand, the medians are the segments that connect the vertices with the midpoints of the opposite side. In this article, we will learn about the...

The incenter of a triangle is a point that represents the intersection of the three bisectors of a triangle. Furthermore, the incenter can also be considered as the center of a circle inscribed in the triangle. We can find the coordinates of the incenter using a...