Pythagoras (discovered the Pythagorean Theorem)

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

12500 \sqrt{12500} 1 2 5 0 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> yards

150 \sqrt{150} 1 5 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> yards

16205 \sqrt{16205} 1 6 2 0 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> yards

14161 \sqrt{14161} 1 4 1 6 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> yards

Omar is mowing a flat rectangular lawn that is 20 feet wide and 36 feet long. How far does Omar walk if he walks directly across the diagonal of the lawn?

1696 \sqrt{1696} 1 6 9 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ft

896 \sqrt{896} 8 9 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ft

56 \sqrt{56} 5 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ft

A right triangle has legs of 7 and 4. What is the length of the hypotenuse of the triangle in feet?

65 \sqrt{65} 6 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ft

11 \sqrt{11} 1 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ft

Which of the following sentences would belong in the proof that describes this image?

The sum of the areas of the two smaller squares is equal to the area of the large square.

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

The difference of the areas of the two smaller squares is equal to the area of the large square.

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

Jacob wants to buy a 52” television (diagonal measurement) to fit in his 31 inch by 42 inch opening in his entertainment center. Will the television fit in the space?

Yes, the opening has extra space.

No, the opening measures exactly 52 inches diagonally.

No, the opening measures less than 52 inches.

Nope, no way, no how, not gonna fit!

Pythagorean Theorem Practice

Authored by Valerie Cole

Mathematics

8th Grade

CCSS covered

Used 246+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View
Student View

40 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Sides a and b are called legs.

true

false

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Side c on a right triangle is ALWAYS the longest.

true

false

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the length of the missing side.

48 in.

52 in.

16 in.

24 in.

Tags

CCSS.8.G.B.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Do the segment lengths 15, 12, and 9 form a right triangle?

Yes

Maybe

Pythagoras

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The Pythagorean Theorem ONLY works on which triangle?

obtuse

scalene

isosceles

right

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the opposite of squaring a number?

divide

multiply

fractions

square root

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The Pythagorean Theorem is
a² + b³= c⁴

false

true

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 Microsoft

or continue with

Facebook

Apple

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

42 questions

8th Final Review

Quiz

•

8th Grade

45 questions

Angles Missing

Quiz

•

7th - 9th Grade

37 questions

3D Geometry

Quiz

•

6th - 8th Grade

41 questions

Functions

Quiz

•

6th - 8th Grade

35 questions

Review: Graphing Slope-Intercept and Standard Form Lines

Quiz

•

8th - 10th Grade

38 questions

Math 8-Pythag Review

Quiz

•

8th Grade

40 questions

Class 8 Text 7/02/25

Quiz

•

8th Grade

40 questions

FINAL EXAM IN MATH

Quiz

•

8th Grade

Popular Resources on Wayground

6 questions

PRIDE Always and Everywhere

Presentation

•

12th Grade

20 questions

Lab Safety Quiz

Quiz

•

6th Grade

26 questions

KOR Review Kahoot Questions

Quiz

•

8th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

12 questions

Unit Zero lesson 2 cafeteria

Presentation

•

9th - 12th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

10 questions

Riddles Riddles fun Riddles

Quiz

•

6th - 12th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

Discover more resources for Mathematics

20 questions

Rational and Irrational Numbers

Quiz

•

8th Grade

15 questions

Solving Literal Equations

Quiz

•

8th Grade

21 questions

Rigid Motion Transformations

Quiz

•

8th Grade

20 questions

Add and Subtract Integers

Quiz

•

6th - 8th Grade

22 questions

Adding Integers

Quiz

•

7th - 8th Grade

20 questions

Classifying Real Numbers

Quiz

•

7th - 12th Grade

18 questions

Integer Operations

Quiz

•

5th - 12th Grade

20 questions

Multi Step Equations with Variables on Both Sides

Quiz

•

8th Grade