# Law of Cosines Calculator

## Results:

### Introduction

Welcome to our insightful exploration of the Law of Cosines, a cornerstone concept in engineering and mathematics. This page is tailored for engineering enthusiasts and professionals who are eager to deepen their understanding of this fundamental theorem. Whether you’re solving complex engineering problems or just satisfying your curiosity about geometric principles, our clear and concise guide will provide you with the knowledge you need.

### What is Law of Cosines?

The Law of Cosines is a critical theorem in trigonometry that relates the lengths of the sides of a triangle to the cosine of one of its angles. This principle is not just a theoretical construct; it’s a practical tool used extensively in various fields of engineering, including mechanical, civil, and aerospace engineering. This law becomes particularly useful in solving triangles when the standard right-angle trigonometric ratios do not apply, making it a versatile solution in non-right triangles.

# Law of Cosines Calculator

$$c^2 = a^2 + b^2 – 2ab \cos(C)$$

Where:

• a, b – Lengths of the sides of the triangle,
• c – Length of the side opposite angle C,
• C – Angle opposite side c.

Law of Cosines is a fundamental theorem in trigonometry used for calculating unknown parts of a triangle, especially in non-right angled triangles. It’s essential in fields like engineering, physics, and geometry for accurate measurement and problem-solving.