# Course 3 Chapter 5: Triangles And The Pythagorean Theorem Answer Key Test

## Introduction

If you are a student of mathematics, then you must be familiar with the Pythagorean Theorem. It is a fundamental concept that plays a crucial role in geometry. In the course 3 chapter 5, you will learn about triangles and the Pythagorean Theorem. This article will provide you with the answer key test for this chapter.

### What is the Pythagorean Theorem?

The Pythagorean Theorem is a statement that describes the relationship between the sides of a right-angled triangle. It states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. This theorem is named after the ancient Greek mathematician, Pythagoras.

### What will you learn in Course 3 Chapter 5?

In this chapter, you will learn about the different types of triangles, their properties, and the Pythagorean Theorem. You will also learn how to use the Pythagorean Theorem to solve problems related to triangles. The chapter will cover topics like the converse of the Pythagorean Theorem, special right triangles, and the distance formula.

### How to prepare for the test?

To prepare for the test, you should first understand the concepts taught in the chapter. Make sure you have a good grasp of the Pythagorean Theorem and its applications. Practice solving problems related to triangles and the Pythagorean Theorem. You can use the answer key test provided below to check your answers.

## Answer Key Test

1. Find the missing side of the right triangle: a = 3, b = 4, c = ? Answer: c = 5 2. Is the triangle with sides 3, 4, and 5 a right triangle? Answer: Yes 3. Find the length of the hypotenuse of a right triangle with legs of length 6 and 8. Answer: 10 4. Find the length of the leg of a right triangle with a hypotenuse of length 10 and the other leg of length 6. Answer: 8 5. Find the distance between the points (1, 2) and (5, 6). Answer: 4√2

## Conclusion

The Pythagorean Theorem is an essential concept in mathematics, especially in geometry. Course 3 Chapter 5 focuses on triangles and the Pythagorean Theorem. This article provided you with the answer key test for this chapter. Make sure you understand the concepts and practice solving problems to prepare for the test. Good luck!