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)
4 x 13 in mi 12 in
3 mi x
3) 4) 11.9 km 6.3 mi x
14.7 km x 15.4 mi
Find the missing side of each triangle. Leave your answers in simplest radical form.
5) 6) 15 yd 8 km x
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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State if each triangle is a right triangle.
9) 10) 15 m 16 ft 9 m 10 ft
12 m 2 39 ft
11) 12) 11 yd 48.5 ft 9 yd 32.5 ft
115 yd 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) 16) 17 cm 9.6 in
9 12 cm cm 18 in 20.1 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
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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)
4 x 13 in mi 12 in
3 mi x 5 mi 5 in
3) 4) 11.9 km 6.3 mi x
14.7 km x 15.4 mi 8.6 km
14.1 mi
Find the missing side of each triangle. Leave your answers in simplest radical form.
5) 6) 15 yd 8 km x
13 yd x 16 km 2 14 yd
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 8) b = 6 yd, c = 4 yd
2 26 m 10 yd
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State if each triangle is a right triangle.
9) 10) 15 m 16 ft 9 m 10 ft
12 m 2 39 ft Yes Yes
11) 12) 11 yd 48.5 ft 9 yd 32.5 ft
115 yd 39 ft No 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) 16) 17 cm 9.6 in
9 12 cm cm 18 in 20.1 in Obtuse
Acute
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 Obtuse Right
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