What does it mean if $$a^2 + b^2 > c^2$$ ?

If $$a^2 + b^2 > c^2$$ , the triangle is acute, meaning all angles are less than 90 degrees.

What is the area of a right triangle?

The area of a right triangle can be calculated using the formula: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ .

What is the relationship between the sides of a 30-60-90 triangle?

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

What is the relationship between the sides of a 45-45-90 triangle?

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is $$\text{leg} \times \text{sqrt}(2)$$ .

What is the distance formula derived from the Pythagorean Theorem?

The distance between two points (x1, y1) and (x2, y2) is given by: $$d = \text{sqrt}((x2 - x1)^2 + (y2 - y1)^2)$$ .

What is the converse of the Pythagorean Theorem?

The converse states that if in a triangle, $$a^2 + b^2 = c^2$$ , then the triangle is a right triangle.

How do you determine if a triangle is a right triangle using side lengths?

To determine if a triangle is a right triangle, check if the squares of the two shorter sides add up to the square of the longest side.

What is the significance of the right angle in a right triangle?

The right angle indicates that the triangle can be analyzed using the Pythagorean Theorem, allowing for the calculation of side lengths and area.

Pythagorean Theorem Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

2.

FLASHCARD QUESTION

Front

What is a right triangle?

Back

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

3.

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.

4.

FLASHCARD QUESTION

Front

If a triangle has sides of lengths 3, 4, and 5, is it a right triangle?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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

12 questions

Future Simple Task

Flashcard

•

7th - 8th Grade

10 questions

Biomolecules Review

Flashcard

•

9th Grade

15 questions

Amplify Earth Moon Sun Chapter 1

Flashcard

•

8th Grade

15 questions

S.O. S phrasesSpanish Language Flashcard

Flashcard

•

6th - 8th Grade

9 questions

Classical and Medieval Art

Flashcard

•

KG

13 questions

Kinetic and potential energy

Flashcard

•

8th Grade

8 questions

Tablet Parts

Flashcard

•

KG

Popular Resources on Wayground

8 questions

2 Step Word Problems

Quiz

•

KG - University

20 questions

Comparing Fractions

Quiz

•

4th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Latin Bases claus(clois,clos, clud, clus) and ped

Quiz

•

6th - 8th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

7 questions

The Story of Books

Quiz

•

6th - 8th Grade

Discover more resources for Mathematics

8 questions

2 Step Word Problems

Quiz

•

KG - University

20 questions

Slope from a Graph

Quiz

•

8th Grade

20 questions

Laws of Exponents

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

13 questions

8th U5L2 - Intro to Functions

Quiz

•

8th Grade

12 questions

Linear vs NonLinear Functions

Quiz

•

8th Grade

20 questions

Product and Quotient Rule - Exponents

Quiz

•

8th Grade

10 questions

Finding Area and Circumference of a Circle

Interactive video

•

6th - 10th Grade