Solving Triangles Teacher Resources

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Sixth graders investigate the magnitudes of the sides and angles of a triangle. They determine the proof of the Sine Rule before using it to solve triangles. They compare the Sine Rule to the Cosine Rule in this unit of lessons.
In this triangles practice activity, students sharpen their problem solving skills as they solve 6 story problems.
In this law of cosines worksheet, 10th graders solve and complete 12 various types of problems. First, they find each indicated measure and give lengths to the nearest tenth and angles to the nearest degree. Then, students solve each triangle illustrated.
For this trigonometry worksheet, students apply the Law of Sines and Cosines to solving for missing sides of a triangle. There are 5 questions with an answer key.

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Your collaborative geometry learners use trigonometric ratios and a clinometer that they assemble themselves to indirectly measure the height of a flag pole and other objects. Then they create a presentation to explain the process they used and present it to their classmates in a gallery walk.
Use this complete lesson plan to introduce geometers to inverse trigonometric functions. Learners use trigonometric ratios to solve triangles when an angle measure is known, then explore using the inverse process when only side lengths are given. The exploration naturally leads to a discussion about use of the inverse trigonometric function keys on the calculator. The lesson also includes five practice problems, three of which are real-world scenarios. Each practice problem has multiple parts.
Your geometry learners will thoroughly explore the Side-Splitting Theorem and how a line, parallel to one of the sides of a triangle, splits the other two sides proportionally. They then collaborate to complete three exploratory tasks involving geometric construction, Geometers Sketch Pad, and distance formula on a graph in the coordinate plane, to write a conjecture and test it. Finally the learners do a formal proof of the Side-Splitting Theorem and solve triangles with their new knowledge.
Use this worksheet to give your geometers practice in using inverse trigonometric functions to solve triangles. The sheet contains five problems, three of which are real-world scenarios. Each problem consists of multiple parts. The worksheet could be used for practice or homework after an introductory lesson on using inverse trigonometric functions, or it could be used for assessment. Solutions to exercises are not provided.
How does the Law of Sines differ from the Law of Cosines? Learners, working cooperatively in small groups, try to gain insight into this question. The activities center around using both laws in different scenarios including real-world examples. 
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
Students find triangular angles using the angle theorem. In this geometry lesson, students describe labeled triangles, use the pythagorean theorem, and rewrite information about triangles in standard form.
Young scholars apply the definition of similar triangles to solve problems. In this geometry lesson, students use the similarity theorem to solve triangles proportion problems. They calculate lengths of certain line segments.
Students use the inequality theorem to solve triangles and their properties. In this geometry lesson, students are given spaghetti of different lengths and asked to create triangles. They conclude the necessary length needed to make a triangle and relate it to the inequality theorem.
Students apply properties of a unit circle to solve triangle problems. In this geometry lesson, students identify the six trigonometric values using the unit circle and the right triangle.
Students calculate the third quantities. In this trigonometric lesson,students are given information about the arc length and angle or radius and asked to find the radius or arc length. They use the unit circle to help find their answers.
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students solve for the missing angles of triangles. They apply ratios of the Pythagoras formula to solve for the missing side and angles.
Students calculate the different sides and angles of triangles. In this geometry lesson, students use the properties of triangles to identify congruent and similar triangles. They use trig to find angles of triangles.
Learners explore the concept of law of sines and cosines. In this law of sines and cosines lesson, students use the law of sines and cosines to solve triangles that are right triangles and non-right triangles.
In this law of sines worksheet, 10th graders solve and complete 15 different types of problems. First, they find the indicated measure in a given triangle. Then, students find the measure of the indicated angle of a triangle to the nearest degree.
Young scholars solve triangles using the properties if congruency. In this geometry lesson, students apply congruent and similar figures to solve real world and math problems. They show they are able to follow instructions.

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