If the hypotenuse of a right triangle is 10 and one leg is 6, 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 $$b = 8$$ .

What is the formula to find one leg of a right triangle if the hypotenuse and the other leg are known?

To find one leg (b) when the hypotenuse (c) and the other leg (a) are known, use: $$b = \text{sqrt}(c^2 - a^2)$$ .

In a right triangle, if the hypotenuse is 15 and one leg is 9, what is the length of the other leg?

Using the Pythagorean Theorem: $$15^2 = 9^2 + b^2$$ , which simplifies to $$225 = 81 + b^2$$ , so $$b^2 = 144$$ , thus $$b = 12$$ .

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.

What is a right triangle?

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

What are the sides of a right triangle called?

The sides of a right triangle are called the hypotenuse (the longest side) and the legs (the two shorter sides).

If a right triangle has legs of lengths 8 and 15, what is the hypotenuse?

Using the Pythagorean Theorem: $$c^2 = 8^2 + 15^2 = 64 + 225 = 289$$ , so $$c = 17$$ .

What is the converse of the Pythagorean Theorem?

The converse of the Pythagorean Theorem 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.

Pythagorean Theorem Basics Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

2.

FLASHCARD QUESTION

Front

What is the formula to find the hypotenuse in a right triangle?

Back

3.

FLASHCARD QUESTION

Front

How do you identify the hypotenuse in a right triangle?

Back

The hypotenuse is always the side opposite the right angle and is the longest side of the triangle.

4.

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

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

In a right triangle, if the lengths of the two legs are 5 and 12, what is the length of the hypotenuse?

Back

7.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem used for?

Back

The Pythagorean Theorem is used to determine the length of a side in a right triangle when the lengths of the other two sides are known.

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

American Revolution

Flashcard

•

8th - 12th Grade

9 questions

Special Places

Flashcard

•

KG - University

15 questions

Water Cycle

Flashcard

•

8th Grade - University

13 questions

7517 03 Basic Operations in Programming Languages

Flashcard

•

9th Grade - University

12 questions

Like to vs Would like to - course 6 (2H)

Flashcard

•

9th - 12th Grade

10 questions

Smart Online Shopper

Flashcard

•

KG - University

10 questions

Genki L3 Verbs

Flashcard

•

8th - 12th Grade

12 questions

Legal Writing Memo Flashcard

Flashcard

•

KG - University

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

54 questions

Analyzing Line Graphs & Tables

Quiz

•

4th 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

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

18 questions

SAT Prep: Ratios, Proportions, & Percents

Quiz

•

9th - 10th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

12 questions

Parallel Lines Cut by a Transversal

Quiz

•

10th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

15 questions

Combine Like Terms and Distributive Property

Quiz

•

8th - 9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

10 questions

Elijah McCoy: Innovations and Impact in Black History

Interactive video

•

6th - 10th Grade