Unit Plan
CK-12 Foundation

Ck 12: Geometry: Altitudes

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Apply the properties of altitudes.
Unit Plan
Wolfram Research

Wolfram Mathworld: Isosceles Triangle

For Students 9th - 10th
MathWorld explains what an isosceles triangle is and how it compares with equilateral, and scalene triangles. The altitude and area of these triangles are also discussed.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Inscribed Similar Triangles

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Apply the fact that the altitude of a right triangle creates similar triangles.
Handout
CK-12 Foundation

Ck 12: Geometry: Right Triangle Similarity Study Guide

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] An overview of altitudes and geometric mean is provided in this study guide.
eBook
Math Planet

Math Planet: Geometry: More About Triangles

For Students 9th - 10th Standards
Explores triangles and related vocabulary through examples and a video lesson.
Activity
Duke University

Duke University: Web Feats Ii: Altitude Theorem for Equilateral Triangles

For Students 9th - 10th
This resource provides information about the altitude theorem for equilateral triangles, in addition to links on related topics. Requires Java.
Handout
Government of Alberta

Learn alberta.ca: Mathematics Glossary: Altitude(s) of a Triangle

For Students 9th - 10th
Get a visual and animated definition of the altitude(s) of a triangle from LearnAlberta.ca's Mathematics Glossary. [Requires Java.]
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
Wolfram Research

Wolfram Math World: Equilateral Triangle

For Students 9th - 10th Standards
MathWorld goes into detail about equilateral triangles at this site. Use this site to find out how to construct an equilateral triangle using a compass and straight edge. Learn about the altitude of such triangles, and the rationality of...
Lesson Plan
Homeschool Math

Homeschool Math: Area of Triangles

For Students 4th - 6th Standards
This lesson presents the idea that the area of any triangle is exactly half of a certain parallelogram -- thus we get the familiar formula of multiplying the base and the altitude and taking half of that. The lesson contains varied...
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.
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: Triangle Properties Assessment

For Teachers 9th - 10th
This activity uses Cabri Jr. to assess the students' knowledge of various segments related to triangles: perpendicular bisector, median, angle bisector, midsegment, and altitude.
Handout
Wolfram Research

Wolfram Math World: Altitude

For Students 9th - 10th
This site from Math World describes the altitude of a triangle, and shows how to find these altitudes using the parameter and positions of the vertexes and angles of the triangle. The site gives other interesting formulas involving the...
Activity
Homeschool Math

Homeschool Math: How to Construct an Altitude to a Triangle

For Students 6th - 8th
Exercises explain how to construct an altitude to a triangle.
Unit Plan
Sophia Learning

Sophia: Triangle Height: Lesson 2

For Students 9th - 10th
This lesson will demonstrate how to locate the height in an obtuse, right, and acute triangle. It is 2 of 5 in the series titled "Triangle Height."
PPT
Sophia Learning

Sophia: Triangle Height: Lesson 4

For Students 9th - 10th
This lesson will demonstrate how to locate the height in an obtuse, right, and acute triangle. It is 4 of 5 in the series titled "Triangle Height."
Interactive
Calculator Soup

Calculator Soup: Equilateral Triangles Calculator

For Students 9th - 10th Standards
An equilateral triangle is a special case of a triangle where all 3 sides have equal length and all 3 angles are equal to 60 degrees.
Handout
University of Georgia

University of Georgia: Inter Math: Altitude of a Triangle

For Students 9th - 10th
This site gives a description along with a visual representation of the altitude of a triangle. There are links to related terms, everyday examples, challenging problems, more information, and the interactive check point involving...
Unit Plan
Wolfram Research

Wolfram Math World: Right Triangle

For Students 9th - 10th Standards
This site from MathWorld.com offers extensive information on right triangles. The site contains information on numerous characteristics of right triangles, including constructing similar inscribed triangles, altitudes, Pythagorean...
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.
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
University of Georgia

University of Georgia: Altitudes & Orthocenters: Making Connections

For Students 9th - 10th Standards
This site describes altitudes and orthocenters in triangles and their connections with the nine-point circle.
Whiteboard
ClassFlow

Class Flow: Triangle Segments

For Teachers 9th - 10th Standards
[Free Registration/Login Required] In this flipchart, students use the interactive features of Activstudio to understand how to use the properties of perpendicular bisectors, angle bisectors, medians and altitudes of a triangle.