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Class Practice 11-2 Date Can you form a right triangle with the three lengths given? The Pythagorean Theorem Show your work. 1. 5,4, V41 2. 8,9, 10 3. 28, 45, 53 4. 6, V10, 7 In each right triangle, find each missing length to the nearest tenth of a unit. 5. 5 cm 6. 6 ft 13 cm 8 ft 7. 8. 9 in. 5 m V146 m 7 in. Use the triangle at the right. Find the missing length to the nearest tenth of a unit. 10. a = 11 in.., c = 42 in. 9. a = 2 m, b = 4 m a 12. a = 17 ft, c = 45 ft 11. b = 14 cm, c = 22 cm b. b= __

Class Practice 11-2 Date Can you form a right triangle with the three lengths given? The Pythagorean Theorem Show your work. 1. 5,4, V41 2. 8,9, 10 3. 28, 45, 53 4. 6, V10, 7 In each right triangle, find each missing length to the nearest tenth of a unit. 5. 5 cm 6. 6 ft 13 cm 8 ft 7. 8. 9 in. 5 m V146 m 7 in. Use the triangle at the right. Find the missing length to the nearest tenth of a unit. 10. a = 11 in.., c = 42 in. 9. a = 2 m, b = 4 m a 12. a = 17 ft, c = 45 ft 11. b = 14 cm, c = 22 cm b. b= __

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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### Practice 11-2: The Pythagorean Theorem #### Can you form a right triangle with the three lengths given? Show your work. 1. \(5, 4, \sqrt{41}\) ___________ 2. \(8, 9, 10\) ___________ 3. \(28, 45, 53\) ___________ 4. \(6, \sqrt{10}, 7\) ___________ #### In each right triangle, find each missing length to the nearest tenth of a unit. 5. - Right triangle with legs \(5 \, \text{cm}\) and \(x\), and hypotenuse \(13 \, \text{cm}\). - Diagram: Triangle with the hypotenuse labeled 13 cm, one leg labeled 5 cm, and the other leg labeled x. 6. - Right triangle with legs \(x\) and \(6 \, \text{ft}\), and hypotenuse \(8 \, \text{ft}\). - Diagram: Triangle with the hypotenuse labeled 8 ft, one leg labeled 6 ft, and the other leg labeled x. 7. - Right triangle with legs \(9 \, \text{in.}\) and \(x\), and hypotenuse \(7 \, \text{in.}\). - Diagram: Triangle with the hypotenuse labeled 7 in., one leg labeled 9 in., and the other leg labeled x. 8. - Right triangle with legs \(\sqrt{146} \, \text{m}\) and \(5 \, \text{m}\), and hypotenuse \(x\). - Diagram: Triangle with the hypotenuse labeled x, one leg labeled 5 m, and the other leg labeled \(\sqrt{146} \, \text{m}\). #### Use the triangle at the right. Find the missing length to the nearest tenth of a unit. 9. \(a = 2 \, \text{m}, \, b = 4 \, \text{m}\) - \(c \approx\) ___________ 10. \(a = 11 \, \text{in.}, \, c = 42 \, \text{in.}\) - \(b \approx\) ___________ 11. \(b
Transcribed Image Text:### Practice 11-2: The Pythagorean Theorem #### Can you form a right triangle with the three lengths given? Show your work. 1. \(5, 4, \sqrt{41}\) ___________ 2. \(8, 9, 10\) ___________ 3. \(28, 45, 53\) ___________ 4. \(6, \sqrt{10}, 7\) ___________ #### In each right triangle, find each missing length to the nearest tenth of a unit. 5. - Right triangle with legs \(5 \, \text{cm}\) and \(x\), and hypotenuse \(13 \, \text{cm}\). - Diagram: Triangle with the hypotenuse labeled 13 cm, one leg labeled 5 cm, and the other leg labeled x. 6. - Right triangle with legs \(x\) and \(6 \, \text{ft}\), and hypotenuse \(8 \, \text{ft}\). - Diagram: Triangle with the hypotenuse labeled 8 ft, one leg labeled 6 ft, and the other leg labeled x. 7. - Right triangle with legs \(9 \, \text{in.}\) and \(x\), and hypotenuse \(7 \, \text{in.}\). - Diagram: Triangle with the hypotenuse labeled 7 in., one leg labeled 9 in., and the other leg labeled x. 8. - Right triangle with legs \(\sqrt{146} \, \text{m}\) and \(5 \, \text{m}\), and hypotenuse \(x\). - Diagram: Triangle with the hypotenuse labeled x, one leg labeled 5 m, and the other leg labeled \(\sqrt{146} \, \text{m}\). #### Use the triangle at the right. Find the missing length to the nearest tenth of a unit. 9. \(a = 2 \, \text{m}, \, b = 4 \, \text{m}\) - \(c \approx\) ___________ 10. \(a = 11 \, \text{in.}, \, c = 42 \, \text{in.}\) - \(b \approx\) ___________ 11. \(b
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