Handout
Math Open Reference

Math Open Reference: Orthocenter of a Triangle

For Students 9th - 10th
Learn about the orthocenter of a triangle with this handy reference guide. Provides a detailed definition, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Activity
Texas Instruments

Texas Instruments: The Orthocenter of a Triangle

For Teachers 9th - 10th Standards
Students understand that the orthocenter is the point of concurrence of the three altitudes of a triangle. They construct circumcircles and Feuerbach circles and determine the relationship between them.
Activity
Texas Instruments

Texas Instruments: Exploring the Orthocenter of a Triangle

For Teachers 9th - 10th
In this activity, students use the Cabri Jr. tools to draw altitudes in a triangle. They construct a line perpendicular to a given line and through a given point. [Requires Adobe Reader.]
Activity
Texas Instruments

Texas Instruments: Centers of a Triangle

For Teachers 9th - 10th
The centroid, circumcenter, orthocenter, and incenter are the four classic centers of a triangle that are studied in geometry. In this activity, you will construct these center points and discover their properties. [Requires Adobe Reader.]
Handout
Math Open Reference

Math Open Reference: Altitude of a Triangle

For Students 9th - 10th Standards
Learn about the altitude of a triangle with this handy reference tool. Provides a detailed definition, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Handout
University of Georgia

University of Georgia: Inter Math: Orthocenter

For Students 9th - 10th
This site from InterMath gives a description of the orthocenter of a triangle along with a visual representation. Be sure to follow the links to related terms, everyday examples, challenging problems, more information, and the...
Unit Plan
Cuemath

Cuemath: Point of Concurrency

For Students 9th - 10th
Learn all about the point of concurrency. This lesson targets the point of concurrency of perpendicular bisectors, the point of concurrency of the angle bisectors of a triangle, and has interesting solved examples and practice questions.
Unit Plan
Cut the Knot

Cut the Knot: Existence of the Orthocenter

For Students 9th - 10th
This site defines the altitude of a triangle and gives the standard notation for altitudes of a triangle. The site then goes to list several proofs involving altitudes and orthocenters.
Unit Plan
Math Words

Math words.com: Altitude of a Triangle

For Students 9th - 10th
This site provides a definition of what the altitude of a triangle is. It also provides a diagram.
Activity
Other

Gobierno De Navarra: Puntos Y Rectas Notables De Un Triangle

For Students 9th - 10th Standards
Learn how to construct the bisectors, median and altitude of a triangle.
Activity
Texas Instruments

Texas Instruments: Centroid and Orthocenter

For Teachers 9th - 10th
In this activity, students analyze the location of the centroid and orthocenter for different triangles.
Handout
Wolfram Research

Wolfram Math World: Orthocenter

For Students 9th - 10th Standards
This site from MathWorld provides a diagram of a triangle with its orthocenter labeled. The site details how to find the orthocenter with links to the key terms. The site details many other interesting properties of the triangle...
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Constructing the Orthocenter

For Students 9th - 10th Standards
Dr. Math shows how to construct the orthocenter of any triangle using a compass and straight edge.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Triangle Altitudes

For Students 9th - 10th Standards
Here at the Math Forum, Dr. Math proves the concurrency of the altitudes of a triangle. Links are provided for associated topics.
Interactive
CK-12 Foundation

Ck 12: Altitudes: Orthocenter

For Students 9th - 10th
[Free Registration/Login Required] Students will use the interactive riangle and points to explore altitudes such as the orthocenter. Click learn more to watch a video and click challenge me to answer a practice question.
Handout
Other

University of Evansville: Encyclopedia Triangle Centers

For Students 9th - 10th
This site contains a comprehensive study of triangle centers. Seems more for an advanced level. Provides a list of six links to 1114 centers.