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Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________The Pythagorean Theorem and Its Converse
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
1)
x
12 in13 in
2)
3 mi
4 mi
x
3) 11.9 km
x
14.7 km
4) 6.3 mi
x15.4 mi
Find the missing side of each triangle. Leave your answers in simplest radical form.
5)
x
13 yd
15 yd
6) 8 km
x16 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
-1-
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State if each triangle is a right triangle.
9)
9 m
12 m
15 m
10)
2 39 ft
10 ft16 ft
11)
115 yd
9 yd
11 yd
12)
32.5 ft
39 ft
48.5 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)
9 cm12 cm
17 cm16)
9.6 in
18 in20.1 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
-2-
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Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________The Pythagorean Theorem and Its Converse
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
1)
x
12 in13 in
5 in
2)
3 mi
4 mi
x
5 mi
3) 11.9 km
x
14.7 km
8.6 km
4) 6.3 mi
x15.4 mi
14.1 mi
Find the missing side of each triangle. Leave your answers in simplest radical form.
5)
x
13 yd
15 yd
2 14 yd
6) 8 km
x16 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
-1-
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State if each triangle is a right triangle.
9)
9 m
12 m
15 m
Yes
10)
2 39 ft
10 ft16 ft
Yes
11)
115 yd
9 yd
11 yd
No
12)
32.5 ft
39 ft
48.5 ft
No
State if the three sides lengths form a right triangle.
13) 10 cm, 49.5 cm, 50.5 cm
Yes
14) 9 in, 12 in, 15 in
Yes
State if each triangle is acute, obtuse, or right.
15)
9 cm12 cm
17 cm
Obtuse
16) 9.6 in
18 in20.1 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
-2-
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