What is the distance formula derived from the Pythagorean Theorem?

The distance between two points (x1, y1) and (x2, y2) in a coordinate plane can be found using: $$d = \text{sqrt}((x2 - x1)^2 + (y2 - y1)^2)$$ .

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.

If a right triangle has a hypotenuse of 10 cm and one leg of 6 cm, what is the length of the other leg?

Using the Pythagorean Theorem: $$10^2 = 6^2 + b^2$$ , which simplifies to $$100 = 36 + b^2$$ , so $$b^2 = 64$$ , thus $$b = 8 cm$$ .

What is the converse of the Pythagorean Theorem?

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

How can the Pythagorean Theorem be used to find the area of a right triangle?

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

What is a real-world example of using the Pythagorean Theorem?

A real-world example is determining the shortest path between two points in a city grid, where streets form right angles.

What is the relationship between the angles and sides in a right triangle?

In a right triangle, the side opposite the largest angle is the hypotenuse, and the lengths of the sides are proportional to the sine, cosine, and tangent of the angles.

If a right triangle has angles of 30°, 60°, and 90°, what are the ratios of the sides?

In a 30-60-90 triangle, the sides are in the ratio 1 : $$\frac{\text{sqrt}3}{2}$$ : 2.

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 hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

3.

FLASHCARD QUESTION

Front

If one leg of a right triangle is 6 cm and the other leg is 8 cm, what is the length of the hypotenuse?

Back

Tags

CCSS.8.G.B.7

4.

FLASHCARD QUESTION

Front

What is the formula to find the length of a missing side in a right triangle?

Back

Tags

CCSS.8.G.B.7

5.

FLASHCARD QUESTION

Front

In a right triangle, if the hypotenuse is 13 cm and one leg is 5 cm, what is the length of the other leg?

Back

Tags

CCSS.8.G.B.7

6.

FLASHCARD QUESTION

Front

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

Back

In a right triangle, the square of the hypotenuse is always greater than the square of either leg.

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

If a right triangle has legs of lengths 9 cm and 12 cm, what is the length of the hypotenuse?

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

12 questions

Amplify - LW - Chapter 1 Flashcard

Flashcard

•

8th Grade

12 questions

Present Simple/Continuous

Flashcard

•

7th - 9th Grade

16 questions

Practice Basic Vocab list #1

Flashcard

•

6th - 8th Grade

16 questions

THERMAL ENERGY TRANSFER

Flashcard

•

6th - 8th Grade

10 questions

Geometry Basics for Grade 7

Flashcard

•

7th Grade

10 questions

Informatika 7 bab 3

Flashcard

•

7th Grade

11 questions

Diffusion and Osmosis Basics

Flashcard

•

7th Grade

8 questions

Mr Ehab Eladawy - Present Continuous ( progressive )

Flashcard

•

7th Grade

Popular Resources on Wayground

5 questions

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

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th 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

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

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

10 questions

Exploring Global Holiday Traditions

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade

21 questions

Christmas Math

Quiz

•

6th - 8th Grade

21 questions

Solving Two Step Equations

Quiz

•

7th Grade

20 questions

Multiplying and Dividing Integers

Quiz

•

7th Grade

20 questions

Adding and Subtracting integers

Quiz

•

7th Grade