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Solving Triangles Teacher Resources
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Students investigate the Law of Sines. In this Algebra II/Trigonometry lesson, students are introduced to and examine the proof of the Law of Sines. Students explore the ambiguous case and investigate the six possible situations that can occur when given two sides and a non-included angle of a triangle.
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.
Use this activity 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 activity 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.
Learners use the inequality theorem to solve triangles and their properties. For 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.