# Table of Contents

**Definition of the height of a triangle, its formulas and properties**

Definition of the height of a triangle

The smallest height in a triangle

Relationship between the height, the angle bisector and the median in a triangle

The height of a triangle. Formulas

Properties of the the bases of heights of a triangle. An orthotriangle

**Heights in different types of triangles**

How are the heights in an acute-angled triangle arranged?

How are the heights in a right triangle arranged?

**The point of intersection of the heights of a triangle**

The point of intersection of the heights of a triangle. The orthocenter of a triangle

The properties of the line segments formed by the point of intersection of the heights

The distance from the vertex of a triangle to the point of intersection of the heights

The point of intersection of the heights of a complementary triangle

The properties of the points symmetric to the orthocenter

**Triangle heights and circumscribed and inscribed circles**