8-The Pythagorean Theorem and Its Converse - Kuta Software

Kuta Software - Infinite Geometry

Name___________________________________

The Pythagorean Theorem and Its Converse

Date________________ Period____

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

1)

2)

12 in 13 in

4 mi

x

3 mi x

3)

11.9 km x

14.7 km

4)

6.3 mi

x 15.4 mi

Find the missing side of each triangle. Leave your answers in simplest radical form.

5)

15 yd x

6)

8 km

13 yd

x 16 km

Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and b are the legs. Leave your answers in simplest radical form.

7) a = 11 m, c = 15 m

8) b = 6 yd, c = 4 yd

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Worksheet by Kuta Software LLC

State if each triangle is a right triangle. 9)

15 m 9 m

12 m

10)

16 ft 10 ft

2 39 ft

11)

9 yd

11 yd

115 yd

12)

48.5 ft

32.5 ft

39 ft

State if the three sides lengths form a right triangle.

13) 10 cm, 49.5 cm, 50.5 cm

14) 9 in, 12 in, 15 in

State if each triangle is acute, obtuse, or right.

15)

17 cm

16)

9.6 in

12 cm

9 cm

20.1 in

18 in

State if the three side lengths form an acute, obtuse, or right triangle.

17) 6 mi, 2 55 mi, 17 mi

18) 4.8 km, 28.6 km, 29 km

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

Name___________________________________

The Pythagorean Theorem and Its Converse

Date________________ Period____

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

1)

2)

12 in 13 in

4 mi

x

x

5 in

3 mi

5 mi

3)

11.9 km x

14.7 km

8.6 km

4)

6.3 mi

x 15.4 mi

14.1 mi

Find the missing side of each triangle. Leave your answers in simplest radical form.

5)

15 yd x

6)

8 km

13 yd

2 14 yd

x 16 km

8 3 km

Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and b are the legs. Leave your answers in simplest radical form.

7) a = 11 m, c = 15 m 2 26 m

8) b = 6 yd, c = 4 yd 10 yd

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Worksheet by Kuta Software LLC

State if each triangle is a right triangle. 9)

15 m 9 m

12 m

Yes

10)

16 ft 10 ft

2 39 ft

Yes

11)

9 yd

11 yd

115 yd

No

12)

48.5 ft

32.5 ft

39 ft

No

State if the three sides lengths form a right triangle.

13) 10 cm, 49.5 cm, 50.5 cm

14) 9 in, 12 in, 15 in

Yes

Yes

State if each triangle is acute, obtuse, or right.

15)

17 cm

16)

9.6 in

12 cm

9 cm

Obtuse

20.1 in

18 in

Acute

State if the three side lengths form an acute, obtuse, or right triangle.

17) 6 mi, 2 55 mi, 17 mi Obtuse

18) 4.8 km, 28.6 km, 29 km Right

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Worksheet by Kuta Software LLC

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