In this activity, students will explore the altitudes of a triangle. Students will discover that the altitude can be inside, outside, or a side of the triangle. Students will discover that the altitudes are concurrent. The point of concurrency is the orthocenter. Students should discover the relationship between the type of triangle and the location of the point of concurrency. Students will discover properties of the orthocenter in equilateral triangles.
Before the Activity
Download the attached PDF or Word document and look over the information on the first page. Distribute the Student Worksheet and attached calculator files for use during the activity.
During the Activity
Discuss the material from the activity pages with students as needed.
After the Activity
Encourage students to summarize what they have learned from completing the activity.