Curated OER
Can a Geometric Mean be Nice?
In this Geometry instructional (work)sheet, students are instructed on how to find the geometric mean. Students are then shown how the geometric mean is applied to proving similar triangles.
Curated OER
Pythagorean Theorem
Students solve right triangles using the Pythagorean Theorem. In this solving right triangles using the Pythagorean Theorem lesson, students find the missing side of a right triangle. Students find the hypotenuse given two...
Noetic Learning
Kinds of Triangles (Online Interactive)
In this triangles learning exercise, students analyze pictures of four triangles. For each triangle, students mark if it is acute, obtuse, or right.
Curated OER
Special Right Triangles
In this right triangles worksheet, 10th graders solve and complete 16 various types of problems. First, they find the missing side lengths in each illustration shown. Then, students place the letter of each problem on the lines at the...
Curated OER
Sine
In this sine worksheet, 10th graders solve 10 different problems by determining the sine in each right triangle shown. They determine the sine of one point by applying the other points given in the problem.
Curated OER
Geometry Puzzle
In this geometry puzzle worksheet, students identify and complete a puzzle that includes 7 different geometrical shapes. They identify and name each shape listed at the bottom. Then, students label every shape in the puzzle with the...
Curated OER
Investigating the Idea of Cos
Fifth graders use cos to solve problems involving right-angled triangles. They solve equations of the form cos(++) = a, for a between -180 and 360 degrees. They state the value of cos(++) in special cases and graph y = cos(++).
Curated OER
Area graphics for 7th graders
Students randomly select dimensions for three geometric shapes (square, right triangle and circle). From the graphs they compare and contrast the graphical results of each shape.
Curated OER
Calculating the shortest distance between two points
Eighth graders find the length of the third side of a right triangle.
Government of Alberta
Learn Alberta: Math Interactives: Exploring Square Roots Video
This video illustrates the concepts of square roots, slope, and the Pythagorean Theorem as they are used in designing and constructing skate park rails, ramps, and pipes. An interactive activity is also included where students are able...
Government of Alberta
Learn Alberta: Math Interactives: Exploring Trig Ratios
Investigate the cosine, sine, and tangent ratios of trigonometry using this interactive Learn Alberta math resource. Students will use these ratios to determine a right triangle's unknown side or angle. Be sure to follow the link to the...
Oswego City School District
Regents Exam Prep Center: Special Right Triangles 45, 45, 90
This Oswego City School District Regents Exam Prep tutorial shows two special formulas that are used to determined the measures of the legs of a 45-45-90 triangles. If you can't remember the formula, the tutorial gives you tips on other...
University of Saskatchewan (Canada)
University of Saskatchewan: Geometry
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with online tutorials and exercises on what they deem some of the most important topics in geometry: Triangles, and Circles and Other...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Right Triangles and Trigonometry
Twenty-five problems cover the topic of right triangles and trigonometry in different settings. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
TeachEngineering
Teach Engineering: Trig River
Students learn about and use a right triangle to determine the width of a "pretend" river. Working in teams, they estimate of the width of the river, measure it and compare their results with classmates.
National Council of Teachers of Mathematics
The Math Forum: Triangle Formulas
Investigate the geometric definitions of triangles, focusing upon equilateral, isosceles, right, and scalene with detailed drawings and appropriate formulas for each. This site has links to more information on triangles.
Oswego City School District
Regents Exam Prep Center: Special Right Triangles
A collection of lessons, practice activities, and a teacher resource that will aid your exploration and understanding of special right triangles.
Oswego City School District
Regents Exam Prep Center: Special Right Triangles 30 60 90
This tutorial shows two special formulas that are used to determined the measures of the legs of 30-60-90 triangles. And if you can't remember the formula, the tutorial gives you tips on other methods you can use.
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...
Shodor Education Foundation
Shodor Interactivate: Triangle Explorer
This applet allows users to study the nature of triangles and their area. It draws random triangles on a Cartesian coordinate system. The user can determine the area of the triangle using his or her preferred method. After the calculated...
Government of Alberta
Learn Alberta: Math Interactives: Exploring the Pythagorean Theorem
This multimedia Learn Alberta math resource looks at the structural design of buildings and how the Pythagorean Theorem is often involved in the design process. The accompanying interactive component asks students to build a variety of...
Cuemath
Cuemath: Pythagoras Theorem
In this lesson, you will learn about the Pythagoras theorem, its derivations, and equations followed by solved real-world problems on the Pythagoras theorem triangle and squares.
Math.com
Math.com: Pythagorean Theorem and Right Triangle Facts
The lesson investigates right triangles and the Pythagorean Theorem. Definitions, examples, and a worksheet are available.
Texas Instruments
Texas Instruments: Investigating Segments in a Right Triangle
In this activity, students review definitions of terms such as right triangle, hypotenuse, midpoint, vertices, and equidistant. They also discover an important characteristic of the midpoint of the hypotenuse.