Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator Practice Problems: Geometry
Practice using your graphing calculator for geometry problems, including the use of the Pythagorean Theorem and the distance formula. If you get stumped or if you would like to check your work, then select the View Solution button, which...
Purple Math
Purplemath: Distance Formula
A concise presentation of a lesson showing how the Distance Formula is really just the Pythagorean Theorem, and how it can be used to find the distance between two sets of coordinates.
Illustrative Mathematics
Illustrative Mathematics: F Tf Special Triangles 1
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, learners can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
Illustrative Mathematics
Illustrative Mathematics: F Tf Special Triangles 2
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, students can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
CK-12 Foundation
Ck 12: Trigonometry: Lengths of Sides in Isosceles Right Triangles
[Free Registration/Login may be required to access all resource tools.] Here you'll learn what an isosceles right triangle is, the relationships between the sides of an isosceles right triangle, and how to find the length of an unknown...
Illustrative Mathematics
Illustrative Mathematics: G C, G Srt Neglecting the Curvature of the Earth
Jerry and Ashley are trying to find out if it is possible to see the lowest point in the USA from the highest point in the USA. It turns out that the highest point in the United States, the peak of Mount Whitney, is only 85 miles from...
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg How Far Is the Horizon?
Some friends are at the beach looking out onto the ocean on a clear day and they wonder how far away the horizon is. A second problem asks how far the horizon would be from the top of a mountain. Students must also answer a question...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: El Teorema De Pitagoras
In this unit you can gain some knowledge about the Pythagorean Theorem. You can learn about the famous mathematician, familiarize with the theorem and then use your knowledge to find the area of plane figures.
Khan Academy
Khan Academy: Distance Between Two Points
In this exercise, students practice using the distance formula, which is derived from the Pythagorean Theorem, to find the distance between two points on a coodinate grid. Students receive immediate feedback and have the opportunity to...
Calculator Soup
Calculator Soup: Right Triangles Calculator
Use this calculator to find the unknown angles in a right triangle using the Pythagorean Theorem. Once you know the sides you can calculate the perimeter, semiperimeter, area, and the altitudes.
CK-12 Foundation
Ck 12: Swimming Pools
[Free Registration/Login Required] Students use knowledge of pythagorean theorem and pythagorean triple to determine the size and compare the size of the new pool to the old pools. Click learn more to watch a video and click challenge me...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: El Teorema De Pitagoras
Interactive resources and activities that could be used in the classroom either as an introduction or review to a unit dealing with the Pythagoras Theorem. [Requires Java.]
Illustrative Mathematics
Illustrative Mathematics: G Gpe Slopes and Circles
The purpose of this task is to lead students through an algebraic approach to a well-known result from classical geometry, namely, that a point X is on the circle of diameter AB whenever angle AXB is a right angle. This consists of...
TeachEngineering
Teach Engineering: Handheld Trigonometry
In addition to understanding the concept of similar right triangles and how they apply to trigonometric ratios, students explore a clinometer app, and discover how it can be used to test the mathematics underpinning trigonometry.
ClassFlow
Class Flow: Right Triangles
[Free Registration/Login Required] Use this flipchart to help your high school students understand right triangles using the Pythagorean Theorem.
Alabama Learning Exchange
Alex: How Tall Is the School's Flagpole?
The purpose of this lesson is to help students apply math concepts concerning similar triangles and trigonometric functions to real life situations. The students learn how to take these concepts and use them to find measurements of...
Oswego City School District
Regents Exam Prep Center: Mean Proportional in a Right Triangle
Material to supplement classroom instruction on mean proportional in a right triangle: a lesson with a definition of "mean proportional" as well as theorems with examples; an online multiple-choice quiz with answers; and guidelines for...
Harvey Mudd College
Mudd Math Fun Facts: Football Field
Here is a math problem using a football field as its basis. The solution to the problem involves the Pythagorean theorem.
Analyze Math
Analyze Math: Triangle Problems
Here are five triangle problems to solve using the Law of Sines, Law of Cosines, Pythagorean Theorem, and trigonometry. All problems have detailed written solutions included.
Oswego City School District
Regents Exam Prep Center: Length of a Line Segment (Distance)
Use the coordinate plane and Pythagorean theorem to determine the length of a line segment. Click on the "Topic Index" to find a related practice exercise and teacher resource.
TeachEngineering
Teach Engineering: Vector Voyage!
In this activity, students will use vector analysis to understand the concept of dead reckoning. Students will use vectors to plot their course based on a time and speed. They will then correct the positions with vectors representing...
CK-12 Foundation
Ck 12: Interactive Geometry: 7.7 Law of Cosines
Learn how the Law of Cosines uses the measure of angle C to provide an equation that relates the three sides of the triangle with angle C.
Pennsylvania State University
Pennsylvania State Univ.: Trilingual Packaging Dilemma
This site from the Pennsylvania State University provides a hands-on activity to bridge the gap between right triangles, 30-60-90 and 45-45-90 theorems, and trigonometry, and what every student wants to know, "When will I ever use this?"...
Other
Achieve: Miniature Golf Design Task [Pdf]
In this task students are asked to combine numerous skills to create a miniature golf hole. Students create a scale drawing of the hole, calculate the area of the hole and determine the percentage of total area used. In addition,...