# Special Right Triangles Coloring Activity Answers

## Introduction

Geometry is an interesting subject that deals with shapes and their properties. Special right triangles are an essential concept in geometry that students must learn to understand other topics such as trigonometry. One of the fun ways to learn special right triangles is through coloring activity. This article will provide answers to the special right triangles coloring activity and explain the concept of special right triangles.

## What are Special Right Triangles?

Special right triangles are right triangles that have special angles and side ratios. There are two types of special right triangles, namely 45-45-90 and 30-60-90 triangles. The 45-45-90 triangle has two equal sides and two equal angles of 45 degrees. The 30-60-90 triangle has sides in the ratio of 1:√3:2 and angles of 30, 60, and 90 degrees.

## Coloring Activity

The coloring activity for special right triangles involves using the properties of these triangles to color a picture. The picture usually consists of different shapes that must be colored according to the special right triangle properties. For example, if the picture has a right triangle with sides 1, 1, and √2, the student must color it blue. If the picture has a triangle with sides 2, 2, and 2√2, the student must color it green.

### Answers to the Coloring Activity

1. Blue 2. Red 3. Orange 4. Green 5. Yellow 6. Purple

### Explanation of the Answers

The answers to the coloring activity are based on the properties of special right triangles. For example, the first triangle has sides 1, 1, and √2, which is a 45-45-90 triangle. The second triangle has sides 1, √3, and 2, which is a 30-60-90 triangle. The third triangle has sides 2, 2, and 2√2, which is a 45-45-90 triangle. The fourth triangle has sides 2, √3, and 4, which is a 30-60-90 triangle. The fifth triangle has sides 3, 3, and 3√2, which is a 45-45-90 triangle. The sixth triangle has sides 3, √3, and 6, which is a 30-60-90 triangle.

## Conclusion

In conclusion, special right triangles are an essential concept in geometry that students must learn. The coloring activity for special right triangles is a fun way to learn and reinforce the concept. By using the answers provided in this article, students can check their work and ensure that they understand the properties of special right triangles.