Pythagorean Theorem, Roots & Squares

Squares

100

16²

256

200

21²

441

300

11² + 9²

202

400

1111²

1234321

500

19² - 15²

136

Square Roots

100

√121

11

200

√289

17

300

√361

19

400

√625 - √389

round answer to the nearest tenth. 

5.3

500

√729 + √81 + √180

round answer to the nearest tenth

49.4

Find Hypotenuse

100

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

10

200

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

13

300

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 9 and 12.

15

400

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 8 and 15.

17

500

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

20

Leg

100

Use the Pythagorean theorem a² + b² = c² to find the missing SIDE for the triangle with b=3 and c=5

a=4

200

Use the Pythagorean theorem a² + b² = c² to find the missing SIDE for the triangle with b=5 and c=13

a=12

300

Use the Pythagorean theorem a² + b² = c² to find the missing SIDE for the triangle with a=15 and c=17

b=8

400

Use the Pythagorean theorem a² + b² = c² to find the missing SIDE for the triangle with b=12 and c=20

a=16

500

Use the Pythagorean theorem a² + b² = c² to find the missing SIDE for the triangle with b=12 and c=15

a = 9

Is it Right?

100

Do the following side lengths for a right triangle?

10 cm, 49.5 cm, 50.5 cm

100+2450.25=2550.25

Yes

200

Do the following side lengths for a right triangle?

7, 24, 26

49+576=676

No

300

Do the following side lengths form a right triangle?

9 in, 12 in, 15 in

49+144=225

Yes

400

Do the following side lengths for a right triangle?

30, 78, 72

900+5184=6084

Yes

500

Do the following side lengths for a right triangle?

17, 19, 22

289+361=484

No