What is the value of $$c$$ if $$a = 6$$ and $$b = 8$$ ?

Using the Pythagorean Theorem: $$c = \text{sqrt}(6^2 + 8^2) = \text{sqrt}(36 + 64) = \text{sqrt}(100) = 10$$ .

If $$c = 13$$ and $$a = 5$$ , what is $$b$$ ?

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

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

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

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

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

What is the converse of the Pythagorean Theorem?

The converse states that if in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

If $$a = 9$$ and $$b = 12$$ , what is $$c$$ ?

Using the Pythagorean Theorem: $$c = \text{sqrt}(9^2 + 12^2) = \text{sqrt}(81 + 144) = \text{sqrt}(225) = 15$$ .

What is a right triangle?

A right triangle is a triangle that has one angle measuring 90 degrees.

How can the Pythagorean Theorem be applied in coordinate geometry?

In coordinate geometry, the Pythagorean Theorem can be used to find the distance between two points (x1, y1) and (x2, y2) using the formula: $$d = \text{sqrt}((x2 - x1)^2 + (y2 - y1)^2)$$ .

Pythagorean Theorem Flashcards

Student preview

14 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

In a right triangle, the sum of the squares of the two shorter sides (legs) equals the square of the longest side (hypotenuse).

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

How do you find a missing side when given the hypotenuse and one side?

Back

Tags

CCSS.8.G.B.7

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

What is the Pythagorean triple?

Back

Tags

CCSS.8.G.B.8

Access all questions and much more by creating a free account

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

Retail Seasonal Calendar

Flashcard

•

11th Grade

11 questions

Geometry Module 2 Vocabulary

Flashcard

•

9th - 10th Grade

10 questions

Basic Concepts of Probability

Flashcard

•

8th Grade

15 questions

Linear Relationships

Flashcard

•

9th - 12th Grade

10 questions

Key Causes of Indian Independence Movements

Flashcard

•

10th Grade

12 questions

maps writing

Flashcard

•

10th Grade

10 questions

UH Firewall n Bandwidth

Flashcard

•

12th Grade

10 questions

Avaliação 8º ANO

Flashcard

•

8th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade

16 questions

Converting Improper Fractions to Mixed Numbers

Quiz

•

4th - 10th Grade

10 questions

Simplifying Expressions by Combining Like Terms

Interactive video

•

6th - 10th Grade

10 questions

Simplifying Expressions with the Distributive Property

Interactive video

•

6th - 10th Grade

10 questions

Key Features of Quadratic Functions

Interactive video

•

8th - 12th Grade