What is the value of x if a = 5 and c = 13?

Using the Pythagorean Theorem: $$x = \text{sqrt}(13^2 - 5^2) = \text{sqrt}(169 - 25) = \text{sqrt}(144) = 12$$ .

If a right triangle has sides of length 8 and 15, what is the length of the hypotenuse?

Using the Pythagorean Theorem: $$c = \text{sqrt}(8^2 + 15^2) = \text{sqrt}(64 + 225) = \text{sqrt}(289) = 17$$ .

What is the Pythagorean triple?

A Pythagorean triple consists of three positive integers a, b, and c, such that $$a^2 + b^2 = c^2$$ . An example is (3, 4, 5).

What is the significance of the Pythagorean Theorem in real life?

The Pythagorean Theorem is used in various fields such as construction, navigation, and physics to calculate distances and angles.

Can the Pythagorean Theorem be used for non-right triangles?

No, the Pythagorean Theorem only applies to right triangles.

What is the length of x if the hypotenuse is 25 and one side is 7?

Using the Pythagorean Theorem: $$x = \text{sqrt}(25^2 - 7^2) = \text{sqrt}(625 - 49) = \text{sqrt}(576) = 24$$ .

What is the formula for finding the area of a right triangle?

The area of a right triangle can be found using the formula: $$\text{Area} = \frac{1}{2} \times a \times b$$ , where a and b are the lengths of the two legs.

If a triangle has sides of lengths 9, 12, and 15, is it a right triangle?

Yes, because $$9^2 + 12^2 = 15^2$$ (81 + 144 = 225).

Pythagorean Theorem Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

What is the formula to find the length of the hypotenuse?

Back

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

If one side of a right triangle is 3 and the other side is 4, what is the length of the hypotenuse?

Back

Tags

CCSS.8.G.B.7

4.

FLASHCARD QUESTION

Front

What is the relationship between the sides of a right triangle?

Back

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

Is the statement 'a^2 - b^2 = c^2' true or false?

Back

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

What is the length of a side if the hypotenuse is 10 and the other side is 6?

Back

Tags

CCSS.8.G.B.7

7.

FLASHCARD QUESTION

Front

How do you solve for a missing side in a right triangle?

Back

Tags

CCSS.8.G.B.7

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

Disney descendants flashcard

Flashcard

•

KG

15 questions

Similar Figures and Solving Proportions

Flashcard

•

7th Grade

10 questions

Tone, Mood, and Purpose

Flashcard

•

6th Grade

10 questions

Misplaced and Dangling Modifiers

Flashcard

•

8th Grade

12 questions

Newton's Laws Vocab

Flashcard

•

6th Grade

9 questions

Year 7 Spring 1 Assessment

Flashcard

•

6th - 8th Grade

8 questions

Recognizing positive or negative messages conveyed in a text

Flashcard

•

8th Grade

10 questions

Mathematics Glossary

Flashcard

•

KG

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

15 questions

Christmas Movie Trivia

Quiz

•

7th Grade

20 questions

One-Step Inequalities

Quiz

•

7th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade

18 questions

Solve Integer Problems and Concepts

Quiz

•

7th Grade

20 questions

Solving One-Step Equations

Quiz

•

6th - 9th Grade

20 questions

Adding and Subtracting integers

Quiz

•

7th Grade

20 questions

Proportional Relationships in Tables, Graphs, and Equations

Quiz

•

7th Grade