Similar Right Triangles Teacher Resources

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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.
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. 
Learners investigate right triangles using the six trigonometric identities. In this geometry lesson, students examine why the altitude in a right triangle creates two or more right triangles.
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.
49Students investigate the properties of right triangles. In this geometry lesson, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
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.
For this right triangles worksheet, students fill out a chart for right triangles in sine, cosine, and tangent and complete word problems. Students complete 5 problems total.
As an introduction to the lesson, 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.
Students 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.
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. 
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.
Young scholars 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.
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.
For 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.
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.
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. Students 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.
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the relationship, they generate visual proofs, investigate the Web for additional information about Pythagoras, and use geometry software to explore other implications of the theorem. Finally, they put the theorem to use by measuring the distance between two opposite ends of their school, both on paper and directly.
Students identify the different ratios of a right triangle. For this trigonometry lesson, students calculate the sine, cosine and tangent of a right triangle. They differentiate between right and oblique triangles.
Students explore the design of sailboats. In this sailboat lesson, students recognize right triangles and find the missing side of the triangle. Students solve word problems and draw diagrams. Students relate the triangles to sailboats.

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Similar Right Triangles