Cosine Clues

Worksheet Description

This worksheet involves solving for unknown measurements in triangles using the Law of Cosines. Students are given six different triangle scenarios, each requiring them to find a specific side length or angle. The problems range from finding a side length to determining an angle, challenging students to apply the Law of Cosines correctly in each context. By working through these problems, students gain experience in substituting the known values into the formula and solving for the unknowns. The worksheet emphasizes accuracy in calculations, as students must carefully compute and find precise measurements.

This worksheet is designed to teach students the practical application of the Law of Cosines in a variety of geometric situations. It helps students understand when to use this law, especially in triangles where the relationships between sides and angles are not immediately obvious. Through these exercises, students develop their ability to work through complex trigonometric problems step by step. The worksheet encourages careful consideration of each triangle’s given data and reinforces the importance of accurate calculation. Ultimately, it aims to build students’ confidence and proficiency in using the Law of Cosines to solve real-world and theoretical problems involving triangles.