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
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.
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
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.
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...
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...
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
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.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Triangulos

For Students 9th - 10th
In Spanish. This interactive activity shows how to compute the area of a triangle and the concept of altitude, median and angle bisector. [Requires Java.]
Lesson Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Rectas Notables De Un Triangulo

For Teachers 9th - 10th Standards
In Spanish. Interactive activities dealing with the concept of angle bisector, median and altitude of a triangle. A description of the circumcenter and centroid are given along with a visual representation. [Requires Java.]
Lesson Plan
Science Buddies

Science Buddies: Gigantic Triangles: Measuring Altitude (Inclinometer)

For Teachers 6th - 8th
If you've ever wondered how tall that bridge is, or how high your kite was, then this could be a good project for you. You'll learn how you can use the mathematics of right triangles to measure the height of an object with two...
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
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
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...
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.
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.
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.
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
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
Calculator Soup

Calculator Soup: Isosceles Triangles Calculator

For Students 9th - 10th Standards
Use this calculator to find the sides, perimeter, area, semiperimeter, and altitude of an isosceles triangle.
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.g Same Base and Height, Variation 2

For Teachers 5th - 8th Standards
This is the second version of a task asking students to find the areas of triangles that have the same base and height. This presentation is more abstract as students are not using physical models. They still determine the area of each...
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.
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.