Similar Right Triangles Teacher Resources
Find Similar Right Triangles educational ideas and activities
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Proofs into Practice: The Pythagorean Theorem in the Real World
As an introduction to the instructional activity, learners verify the Pythagorean theorem with a hands-on proof. Then, pupils use the theorem to determine whether three side lengths could form a right triangle and choose one of two real-life situations to examine using the theorem. Terrific activities and worksheets are embedded.
Similar Parts Investigation
How tall is that flagpole? Your pupils might want to stand on each other's shoulders to answer this, but this activity is all about using the math knowledge they already possess. Using right triangle trigonometric ratios (SOH CAH TOA) and the Pythagorean theorem, young geometers solve real-world problems.
Applying the Pythagorean Theorem in a Mathematical Context
Participants who use this resource will apply the Pythagorean Theorem to show whether or not the shaded triangle inscribed in a rectangle is a right triangle. Once all of the sides on the shaded triangle are found, it is important that your class understands that the largest side may be the hypotenuse. From there, it is easy to apply the Pythagorean Theorem to solution II of the commentary.
Geometric Mean and Congruent Right Triangle
Students investigate right triangles using the six trigonometric identities. In this geometry instructional activity, students examine why the altitude in a right triangle creates two or more right triangles.
Eighth graders investigate direct and indirect measurement. In this eighth grade geometry and measurement lesson, 8th graders investigate a variety of methods for measuring the height of a tree. Students investigate and use the properties of similar triangles and special right triangles to solve application problems.
Similar Right Triangles-Introductions to Trigonometry
For this geometry worksheet, students examine similar right triangles as the basis for the foundation of trigonometry. Students define the basic trigonometric functions and use a calculator to find the trigonometric value of an angle. The four page worksheet contains forty-six problems. Answers are not included.
Investigating Trigonometric Ratios Through Similar Right Triangles.
49Students investigate the properties of right triangles. In this geometry instructional activity, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
Investigating Trigonometric Ratios Through Similar Right Triangles
Students identify similar and congruent right triangles. In this geometry lesson, students use trigonometric ratios to identify missing sides and angles of a triangle. They differentiate similar and congruent triangles.
Students solve problems using concepts of the right triangle. In this geometry lesson, students solve different parts of a right triangle using the pythagorean theorem. They calculate the values for sine, cosine and tangent.
Students apply the different theorems of a triangle as they define similarity of shapes. In this geometry lesson, students solve problems involving right triangles. They compare the triangles using ration and proportions as they relate to the Pythagorean Theorem.
Verifying Trig Ratios Using Similar Triangles
Students solve problems of a right triangle using properties of trigonometry. In this geometry lesson, students apply properties of a right triangle to solve problems correctly.
Mt. Whitney to Death Valley
This is an intriguing problem that brings together real-world data, technology, and mathematical problem solving. If visibility wasn't an issue, could you see from the highest point in the lower 48 states, Mt. Whitney, to the lowest point, Badwater Basin in Death Valley? Transferring this question to a mathematical model, researching maps, understanding triangles, and properties of similar triangles, are just a few challenges that this problem brings up.
Geometry Course Review
In this geometry review set of worksheet, 10th graders solve and complete 139 various types of problems. First, they find the slope-intercept form of a line passing through a point and parallel to a line given. Then, students find the length of the leg of a right triangle. They also determine the area of various quadrilaterals.
Geometry Review Exam
In this geometry review worksheet, 10th graders solve and complete 100 various types of problems studied in geometry. First, they find the slope-intercept form of a line passing through two points and parallel to a given line. They also find the length of the leg of a right triangle. in addition, they determine the area of a given quadrilateral.
Indirect Measurement Technique: Using Trigonometric Ratios
Ninth graders create clinometers using a protractor, weight, and string. They work in pairs to practice sighting objects above or below their line of sight. Students use ratios of right triangles to determine the height of a predetermined object.
Getting It Right! An Investigation of the Pythagorean Theorem
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 measurements in a spreadsheet. Learners use the spreadsheet to look for possible patterns in the measurements. They also use the spreadsheet to square the values of each measurement and to look for possible relations among squared values.
Young scholars review the relationship between the area of a right triangle and the area of a cooresponding rectangle. Using new terminology, they identify the characteristics of right triangles. In groups, they review geometric concepts associated with parallelograms and experiment with pattern making.
T Points from Directions
Here is a lesson that starts with having geometers translate points using compass directions into an accurate picture of the problem. Then they must use their knowledge of the Pythagorean theorem or similar triangles to solve. This makes a good small-group activity.
Finding Slope of a Line from Graphs, Tables, and Ordered Pairs
Middle schoolers explore the concept of slope in numerous ways and start to look at simple linear equations. They describe the slope in a variety of ways such as the steepness of a line, developing a ratio, using graphs, using similar triangles, and through ordered pairs. This lesson has an amazing collections of great ideas when it comes to exploring slope.
Law of Cosines
Sal derives the Law of Cosines using a method similar to the wayward ship captain word problem he solves in another video. This video provides a good review of using the SOH-CAH-TOA model, the Pythagorean Theorem, some of the basic trig identities, and algebra.