# Solving Triangles Teacher Resources

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#### Following the Law of Sine

Laws were not meant to be broken. Learners apply the Law of Sines to solve triangles. After doing some practice problems, they solve a real-world problem involving a city planning project.

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#### Lines Parallel to a Side of a Triangle

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...

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#### Introduction to Trigonometric Functions

Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.

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#### Inverse Trig

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...

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#### Determination of Unknown Triangle Measures Given Area: Jib Sheets

Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.

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#### The Trigonometric Functions

This extensive chapter gives learners a new angle on that old geometry favorite, trigonometry. From the unit circle to right triangles, the role of trigonometric ratios is explored through explanation of theory and working application...

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#### Trig Practice

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...

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#### Leveled Problem Solving Triangles

For this triangles practice worksheet, students sharpen their problem solving skills as they solve 6 story problems.

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#### Using the Law of Sines and the Law of Cosines to Solve Triangles

In 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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#### How Do You Solve a Problem Using Indirect Measurement with Shadows?

Using indirect measurement, this video shows viewers how to find the height of a flagpole. The lecturer employs drawings as well as proportions to solve this problem, explaining each step. A useful resource to aid struggling learners and...

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#### How Do You Solve a Problem Using Indirect Measurement with Shadows?

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#### How Tall is It?

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...

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#### The Law of Sines and the Law of Cosines

In this college level trigonometry worksheet, students apply the Law of Sines and the Law of Cosines to solve triangles. The four page worksheet contains forty-four problems. Solutions are not provided.

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#### Using the Law of Sines and the Law of Cosines to Solve Triangles

In this sine and cosine worksheet, students are given the length of sides of a triangle or the sum of angles. They use the law of sines and law of cosines to determine the missing information.

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#### Triangle Inequality Theorem

Learners use the inequality theorem to solve triangles and their properties. In this geometry activity, students are given spaghetti of different lengths and asked to create triangles. They conclude the necessary length needed to make a...

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#### Going Around In Circles: The Unit Circle

Students apply properties of a unit circle to solve triangle problems. In this geometry lesson plan, students identify the six trigonometric values using the unit circle and the right triangle.

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#### I'm So Sorry I Ate Chocolate

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.

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#### An Application of Congruence

Learners 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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#### Similar Figures

Students solve triangles using similarity and proportionality. For this geometry lesson, students apply the properties of similarity to solve triangular problems. They define ratio and proportionality as it relates to solving similar...

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#### Law of Sines and Law of Cosines

For this Pre-calculus/Trigonometry worksheet, students use the laws of sines and cosines to solve triangles. The four page worksheet contains thirteen problems. Answers are not included.

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#### Proof: Law of Sines

In this video, Sal proves the Law of Sines by using the SOH-CAH-TOA model and setting up equivalent ratios.

EngageNY

#### The Side-Angle-Side (SAS) and Side-Side-Side (SSS) Criteria for Two Triangles to Be Similar

Playing with mathematics can invoke curiosity and excitement. As pupils construct triangles with given criteria, they determine the necessary requirements to support similarity. After determining the criteria, they practice verifying...

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#### Deriving and Applying the Law of Sines

Breaking the law isn't possible when talking about the Law of Sines. Individuals learn to apply the Law of Sines to solve problems involving triangles. They also learn to derive the Law of Sines.

EngageNY

#### The Angle-Angle (AA) Criterion for Two Triangles to Be Similar

What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...