Step into the world of right-angled triangles and discover the fascinating relationships between their sides. The Pythagorean Theorem is a cornerstone of geometry, providing insights into distances and measurements that are crucial in various fields. Challenge yourself with these questions and see how well you grasp this essential mathematical theorem. Good luck and enjoy the journey of learning!

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## Pythagorean Theorem Quiz Questions Overview

### 1. What is the Pythagorean Theorem?

a^2 + b^2 = c^2

a^2 – b^2 = c^2

a^2 + b^2 = 2c

a + b = c

### 2. In the Pythagorean Theorem, what does ‘c’ represent?

The length of one leg

The length of the hypotenuse

The area of the triangle

The perimeter of the triangle

### 3. Which of the following sets of numbers can be the sides of a right-angled triangle?

1, 2, 3

3, 4, 5

2, 3, 4

5, 6, 7

### 4. If one leg of a right-angled triangle is 6 and the hypotenuse is 10, what is the length of the other leg?

8

7

5

4

### 5. What is the length of the hypotenuse of a right-angled triangle with legs of lengths 5 and 12?

10

13

15

17

### 6. Which of the following is NOT a Pythagorean triple?

8, 15, 17

7, 24, 25

9, 12, 15

10, 24, 26

### 7. What is the area of a right-angled triangle with legs of lengths 7 and 24?

84

96

168

210

### 8. If the hypotenuse of a right-angled triangle is 15 and one leg is 9, what is the length of the other leg?

10

12

13

14

### 9. Which ancient civilization is credited with the discovery of the Pythagorean Theorem?

Egyptians

Babylonians

Greeks

Chinese

### 10. What is the length of the hypotenuse of a right-angled triangle with legs of lengths 8 and 15?

17

18

19

20

We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂