Right Triangles Teacher Resources

In this inverse functions in trigonometry worksheet, learners find the missing angles in eight right triangles, given the length of two sides.

Upper graders label four triangles and fill in the labels correctly. They draw three original triangles and answer the questions about them.

A lengthy narrative about Pythagoras and his students precedes an activity in which your young mathematicians practice using the Pythagorean theorem to solve three problems about flight and distance. Answers are provided. 

Learners discuss and review examples of the Pythagorean Theorem using a GSP, Geometer's Sketchpad, activity.

What special relationships exist in right triangles? In the high school performance task, learners investigate Pythagorean triples. They then determine rules for the perimeter and area of right triangles given the shortest side.

Seventh graders practice finding the area and perimeter of polygons. In this polygon area lesson, 7th graders brainstorm shapes and take a walk to locate shapes. Students record properties of shapes and use various shapes to make a...

In this linear equations instructional activity, 8th graders solve 10 different problems that include various types of linear equations. First, they write the distance between Venus and the Sun in scientific notation. Then, students...

Students explore the concept of slope.  In this Algebra I instructional activity, students investigate the definition of slope as rise over run or change in y compared to change in x.  The instructional activity includes a...

Students prove the theorem of Pythagoras. In this Pythagorean Theorem lesson, students define the different parts of a right triangle. They use the Pythagorean Theorem to solve for the missing sides and angles of a right triangle.

Students apply properties of right triangles to solve problems. In this geometry lesson, students identify axioms and theorems using examples.

Can your class solve right triangles and identify the properties common to right triangles? They will investigate and state the relationship between the altitude to the hypotenuse and the two segments of the hypotenuse formed by the...

Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar...

It's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.

Are there different types of triangles? Yes there are, and this presentation describes each by its properties or characteristics. Right, equilateral, isosceles, and scalene are all shown and defined. The presentation isn't particularly...

Learners study acute triangles. They measure angles using a protractor, then classify the triangles as either right, obtuse, or acute. Everyone creates a design for a Navajo rug using only acute triangles.

Young math whizzes solve four problems in which a triangle with labeled angle measurements is analyzed. They mark if each triangle is acute, right, or obtuse.

Here is a classifying triangles practice learning exercise in which learners sharpen their problem solving skills as they solve six story problems.

Learners use the Pythagorean Theorem to find the distances between two points. Use this Pythagorean Theorem lesson plan to have learners find the distances on a coordinate plane in small groups.

Does watching a person do a math problem help you understand a mathematical concept? If it does then this clip will be a great help. The tutor in this clip completes a geometry problem involving tangents, circles, and the Pythagorean...

Learners construct a variety of right triangles using a right-angled set square, cutting corners from pieces of paper or cardboard, and using dynamic geometry software. They measure the sides of these various right triangles and record...

This video, the first in a series on the Pythagorean theorem, introduces the formula for discovering the measurement of a side of a right triangle. The material is introduced and explained in a straightforward and easy-to-understand...

If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...

You've heard that it is true, but can you prove it? Scholars learn the Pythagorean Theorem through proof. After an overview of proofs of the theorem, learners apply it to prove triangles are right and to problem solve. This is the second...

45-45-90 triangles are half a square, which gives them a special status! The instructor explains the relationship of the sides of the 45-45-90 triangle using the Pythagorean Theorem as a reference.