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.
Unit Plan
Texas Education Agency

Texas Gateway: Similar Right Triangles: The Altitude to the Hypotenuse

For Students 9th - 10th
The student will apply and prove the definition of similar triangles and identify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Altitudes Intermediate

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students properties of altitudes of triangles and how to apply them.
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 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...
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.
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.
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
Texas Instruments

Texas Instruments: Altitude, Median, and Angle Bisector of a Triangle

For Teachers 9th - 10th
In this activity, you will construct special segments of a triangle named altitudes, medians, and angle bisectors, Using their definitions. You will look at how an altitude, a median, and an angle bisector divide the area of a triangle....
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.]
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.
Activity
Texas Instruments

Texas Instruments: Simple Constructions With Cabri Jr.

For Teachers 9th - 10th
The Cabri Jr. Constructions Tools Menu (F3) contains tools for contructing geometric objects. This activity provides practice using several of the tools. The activity also investigates the terms: median of a triangle and the altitude of...
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."
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.
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.
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.
Activity
National Council of Teachers of Mathematics

The Math Forum: Problems Library Geometry Triangles

For Students 9th - 10th Standards
This site contains a wealth of problems that deal with the basic definitions of medians, altitudes, angle bisectors, and perpendicular bisectors or the defining characteristics of the different types of triangles. There are also...
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.
Handout
Oswego City School District

Regents Exam Prep Center: Geometry Vocabulary Resources

For Students 9th - 10th
A list of geometry definitions and a matching activity.
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.

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