8th Grade Pythagorean Theorem

Math Facts

100

11²

121

200

13²

169

300

sqrt of 3 times sqrt of 24. Leave your answer in the simplest radical format. 

6 sqrt of 2

400

3 sqrt 3 times 5 sqrt 6. Leave your answer in the simplest radical format 

45 sqrt of 2

500

2 sqrt 3 plus 4 sqrt of 12. Leave your answer in the simplest radical format 

10 sqrt of 3

Hypotenuse

100

Use the Pythagorean theorem to find c.

A=3

B=4

5

200

Use the Pythagorean theorem to find c.

A=6

B=8

10

300

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 5 and 12.

13

400

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 9 sqrt 2 and 12 sqrt 3. Round your answer to the nearest tenth. 

24.4

500

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 12 sqrt 2 and 16. Leave your answer in the simplest radical format. 

sqrt of 544 = 4 sqrt 34

Legs

100

Use the Pythagorean theorem to find the missing leg for the triangle with c=5 and b=4.

a = 3

200

Use the Pythagorean theorem to find the missing leg for the triangle with a= 8 and c=17.

b = 15

300

Use the Pythagorean theorem to find the missing leg for the triangle with a = 6 sqrt 4  and c = 25. Round your answer to the nearest tenth. 

b = 21.9

400

Use the Pythagorean theorem to find the missing leg for the triangle with b = 20 sqrt 2 and c = 26 sqrt 3. Round your answer to the nearest tenth. 

a = 35.0

500

Double Jeopardy!

Use the Pythagorean theorem to find the missing leg for the triangle with c = 18 and b =  2 sqrt 3. Leave your answer in the simplest radical format 

a = 2 sqrt 78

Distance Formula

100

Use the Pythagorean Theorem to find the distance between points (1, 2) and (4, 6).

5 units

200

Use the Pythagorean Theorem to find the distance between points (3, 8) and (3, 2).

6 units

300

Use the Pythagorean Theorem to find the distance between points (-2, 1) and (6, 16).

17

400

Use the Pythagorean Theorem to find the distance between points (0, 0) and (5, 12).

13 units

500

Use the Pythagorean Theorem to find the distance between points (-5, -5) and (4, 7).

15 units

Is It A Right Triangle

100

Is it a right triangle?

1-2-3

No

A² + B² ≠ C²

200

Is it a right triangle?

30-50-40

Yes!

A² + B^{2 =} C²

300

Is it a right triangle?

31-11-10

No

A² + B² ≠ C²

400

Double Jeopardy!

Is it a right triangle?

2 sqrt 2, 4, 2 sqrt 3

Yes!

A² + B² = C²

500

Are these the sides of a right triangle?

6 sqrt of 5,  6  , 12 

YES