1. What is the Orthocenter of a Triangle?

The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude is a perpendicular line from a vertex to the opposite side (or its extension).

2. How Does the Calculator Work?

The calculator finds the orthocenter by:

3. Importance of Orthocenter Calculation

Details: The orthocenter is an important point in triangle geometry and has applications in various fields including engineering, computer graphics, and navigation.

4. Using the Calculator

Tips: Enter the coordinates of three non-collinear points (vertices of the triangle). The calculator will determine the orthocenter coordinates.

5. Frequently Asked Questions (FAQ)

Q1: Where is the orthocenter located in different types of triangles?
A: In an acute triangle, it's inside; in a right triangle, it's at the right angle vertex; in an obtuse triangle, it's outside.

Q2: What if my points are collinear?
A: Collinear points don't form a triangle, so there would be no orthocenter. The calculator assumes valid triangle input.

Q3: Can the orthocenter be outside the triangle?
A: Yes, in obtuse triangles the orthocenter lies outside the triangle.

Q4: How is the orthocenter related to other triangle centers?
A: In an equilateral triangle, the orthocenter coincides with the centroid and circumcenter.

Q5: What are practical applications of the orthocenter?
A: Used in computer graphics for triangle processing, in navigation systems, and in various engineering design applications.