CK-12 Foundation
Ck 12: Geometry: Special Right Triangles Study Guide
[Free Registration/Login may be required to access all resource tools.] Different types of right triangles and trigonometric ratios for special right triangles are covered in this study guide.
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...
CK-12 Foundation
Ck 12: Algebra Ii: 4.2 Right Triangle Trig Extended to Circles With a Model
This section explores the relationship between right triangles, circles, and trigonometry. It investigates how a right triangle that is set inside a circle and rotates around the circle is connected to trigonometric functions and their...
Mathigon
Mathigon: Geometry: Triangles and Trigonometry: Properties of Triangles
This lesson focuses on the properties of triangles, a closed shape that has three sides, three vertices, and and three internal angles. There are different types of triangles such as a right triangle, obtuse, and acute based on the...
Cuemath
Cuemath: Altitude of a Triangle
Explore the world of the altitude of a triangle in this mini-lesson including its definition, altitudes in different types of triangles, formulae, some solved examples, and a few interactive questions for you to test your understanding.
Oswego City School District
Regents Exam Prep Center: Area of a Triangle and Parallelogram Using Trig
How can trigonometry be used to find the area of a triangle or parallelogram? Does the triangle need to be a right triangle, and how accurate can the results possibly be? The answers to these questions are found here along with several...
Illustrative Mathematics
Illustrative Mathematics: G Co Classifying Triangles
The goal of this task is to help students synthesize their knowledge of triangles where only two of the vertices have been given. They will need to know that a triangle inscribed in a circle, with a diameter of the circle as one side, is...
Shodor Education Foundation
Shodor Interactivate: Squaring the Triangle
Students explore the relationship between the Pythagorean Theorem and right triangles. Teacher resources are included.
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.
Math Open Reference
Math Open Reference: Circumcircle of a Triangle
A complete reference guide to the circumcircle of a triangle. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Other
Algebra Lab: Word Lesson: Vectors Right Triangles Components and Resultants
Solve problems using vectors that involve velocity, speed, direction, and magnitude. Includes examples and practice problems. Click on the buttons under the practice questions to see the solutions.
CK-12 Foundation
Ck 12: Algebra Ii: 4.1 Revisiting Right Triangle Trigonometry
Use this tutorial to revisit right triangle trigonometry.
Illustrative Mathematics
Illustrative Mathematics: 8.g Pythagorean Theorem in Mathematical Context
Eighth graders are shown a drawing of a rectangle with a central triangle bordered by three right triangles. They are asked to prove whether or not the middle triangle is also a right triangle. Aligns with 8.G.B.
Shodor Education Foundation
Shodor Interactivate: Interactive: Pythagorean Explorer
Students find the length of a side of a right triangle by using the Pythagorean Theorem and then check their answers.
Shodor Education Foundation
Shodor Interactivate: Squaring the Triangle
Learn about how the Pythagorean Theorem works through investigating the standard geometric proof.
Mathigon
Mathigon: Geometry: Triangles and Trigonometry: Pythagoras' Theorem
Pythagoras' Theorem: In any right-angled triangle, the square of the length of the hypotenuse (the side that lies opposite the right angle) is equal to the sum of the squares of the other two sides. (A+B=C)
CK-12 Foundation
Ck 12: Algebra Ii: 1.10 Pythagorean Triples
This section explores right triangles with three lengths that are considered Pythagorean Triples, and also investigates how some right triangles can have lengths that are not Pythagorean Triples.
Shodor Education Foundation
Shodor Interactivate: Pythagorean Explorer
Calculate the length of one side of an automatically generated right triangle by using the Pythagorean Theorem, and then check your answers.
Mocomi & Anibrain Digital Technologies
Mocomi: Types of Triangles
Explore the different types of triangles and other properties.
Illustrative Mathematics
Illustrative Mathematics: G Gpe.5 Triangles Inscribed in Circle
In this task, students use ideas about linear functions to determine when certain angles are right angles. They use the fact that two lines (if not vertical or horizontal) are perpendicular when their slopes are inverse reciprocals, as...
Doina Popovici
Math Play: Pythagorean Theorem Jeopardy Game
This jeopardy-style game will have students calculate the sides of a right triangle by using the Pythagorean Theorem.
Homeschool Math
Homeschool Math: Area of Parallelograms
This lesson plan presents the idea that the area of any right triangle is exactly half of a certain rectangle, and contains varied exercises for students.
Purple Math
Purplemath: The Pythagorean Theorem
Defines the Pythagorean Theorem, and demonstrates how to use this Theorem in connection with right-angled triangles.
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