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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-1-
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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-2-
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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-1-
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
Create your own worksheets like this one with Infinite Geometry. Free trial available at
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-2-
Worksheet by Kuta Software LLC
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