Geometry can be fascinating, especially when it introduces students to the world of special right triangles. Among these, the 30-60-90 triangle holds a special place due to its unique properties and the ease with which it allows the calculation of side lengths. To enhance your understanding and provide ample practice, we’ve designed a comprehensive set of worksheets tailored to the 30-60-90 triangle.

## Understanding the 30-60-90 Triangle

Before diving into the worksheets, let’s understand the basics. A 30-60-90 triangle is a right triangle where the angles measure 30 degrees, 60 degrees, and 90 degrees. The sides of this triangle have a distinctive ratio. If the shortest side (opposite the 30° angle) has a length of x, the side opposite the 60° angle will be x√3, and the hypotenuse (opposite the 90° angle) will be 2x.

## How to Use the Worksheets

The worksheets presented here are designed to reinforce the properties of the 30-60-90 triangle. Each worksheet provides different configurations of these triangles with one or more side lengths missing. The task is to apply the knowledge of the side ratios to find the missing lengths, ensuring answers are left as radicals where appropriate for exactness.

**Answer Key**