University:
South Plains College
Course:
MATH 1332 | Contemporary Mathematics
Academic year:

2024
Views:

105

Pages:

2
Author:

Alexia V.

MATH 1332 Assignment 3.2 Name MATH 0332/1332 Assignment 4.2 Triangles: Similarity and the Pythagorean Theorem Write true or false for each statement. False 1 Similar triangles are the same shape and the same size. 2 In aright triangle, the sum of the lengths of the legs is equal to the length of the hypotenuse. Fulse Name the corresponding angles and the corresponding sides for each of the following pairs of similar triangles. AanP 3. 4. B P Find all unknown angle measures in each pair of similar triangles. 5. MAA=me 49 30° 6T:74o T 6. W X K 106° 74° 30°/ C Find the unknown side lengths in each pair ofsimilar triangles. 3ounits b=60mits 7. 10. m=lbunits 12 75 10, 20 11. 8. X=l6Snits 4=12ts b=4nits 10 8 150 12. 6 180 9. yebumts 100 10 90 Solve each problem. 13. Atree casts a shadow 45 meters long, At the same time, the shadow cast by a vertical 4-meter stick is 3 meters long. Find the height of the tree. 14. Ahouse is 15 feet tall. Its shadow is 40 feet long at the same time the shadow of a nearby building is 300 feet long. Find the height of the building. In Exercises 15- 18,use the Pythagorean Theorem to find the lengths of theunknown sides. 15. x:7.616units 7 24 6 16. 21 18. 6 10 0n Exercises 19-22, a and brepresent the two legs ofa right triangle and crepresents the hypotenuse. Find the lengths of theunknown sides using the Pythagorean Theorem. 19. 21. a=14 m; b= 48 m SOm b= 21 in; c= 29in a 0 i n a= 28 km; c= 100 km h -46hm 20. 22. b= 120 ft; c =169 ft a -|14f Solve eachproblem. 23. Aladder is leaning against a house that is 10 feet high. If the base of the ladder is3 feet away from the house, how long is the ladder? Draw a diagram and show all work. 24. In the figure shown,what is the length of the diagonal? 40 yards 30 yards 25. Use the converse of the Pythagorean Theorem to determine if the following are right triangles. a) b) 6.4 m c) 3 cm 4cm 5.6 m 5 cm Yus No 2.5 m 12.8 km 9.6 km 16.0 km