Unit 1 Review: Pythagorean Theorem, Roots & Squares

Squares

100

16²

256

200

x² = 441 

21

300

x² = 1444

38

400

1111²

1234321

500

x² = 47961

219

Square Roots

100

√121

11

200

√289

17

300

A square park has an area of 250 square meters, what is the length of each side of the park?

15.8 square meters 

400

A square poster has an area of 349 centimeters squared. What is the length of each side of the poster? 

18.7 centimeters squared

500

A square room has an area of 290 square feet. What is the length of each side of the room?

17.0 square feet

Find Hypotenuse

100

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 6 and 8. Is this triangle a Pythagorean triple? 

10 and yes

200

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 5 and 12. Is this triangle a Pythagorean triple?

13 and yes

300

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 10 and 12. Is this triangle a Pythagorean triple?

15.6 and no

400

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 9 and 15. Is this triangle a Pythagorean triple?

17.5 and no

500

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 12 and 16. Is this triangle a Pythagorean triple?

20 and yes 

Leg

100

Use the Pythagorean theorem a² + b² = c² to find the missing SIDE for the triangle with b=3 and c=6. Is this triangle a Pythagorean triple?

a=5.2 and no

200

Use the Pythagorean theorem a² + b² = c² to find the missing SIDE for the triangle with b=5 and c=13. Is this triangle a Pythagorean triple? 

a=12 and no

300

Use the Pythagorean theorem a² + b² = c² to find the missing SIDE for the triangle with a=14 and c=17. Is this triangle a Pythagorean triple?

b=9.6 and no

400

Use the Pythagorean theorem a² + b² = c² to find the missing SIDE for the triangle with b=12 and c=20. Is this triangle a Pythagorean triple?

a=16 and yes

500

Use the Pythagorean theorem a² + b² = c² to find the missing SIDE for the triangle with b=12 and c=18. Is this triangle a Pythagorean Triple?

a = 13.4 and no

History

100

In the Pythagorean theorem  a² + b² = c², what are a and b called?

Legs

200

In the Pythagorean theorem a² + b² = c², what is "c" called?

Hypotenuse

300

Pythagorean Theorem can ONLY be used with _________________.

Right triangles

400

True or False: 

Pythagorean Theorem can be used to only find the hypotenuse

False

500

The lengths of a triangle are as follows: a = 11, b = 16, c = 21. Is this a right triangle? 

377 is not equal to 441, therefore this is not a right triangle.