What are the answers to these questions?

26. Make Sense and Persevere Each of the five 29. Consider the following triangle. points on a star produced for a flag is an isosceles triangle with leg length 6 cm and base length 4.2 cm. What is the total height . (Sy h of each star? Round to the nearest tenth of a centimeter. a. Write an equation you can solve to find the value of y. b. What is mak? 30. SAT/ACT Given mzABC = 114, what is mzBAD? 27. Use Structure The front of the tent below has the shape of an equilateral triangle. a. What is the side length of the triangle? Round to the nearest tenth of a foot. b. Explain the method you use to calculate the length. @ 54 60 $ 63 72 31. Performance Task Emaan designs the birdhouse shown below. 12.5 cm 12.5 cm 28. Look for Relationships For a crane to lift the beam shown below, the beam and the two support cables must form an isosceles triangle with height h. If the distance between the 9.2 cm cables along the beam is 18 ft and the 9.2 cm height h is 8 ft, what is the total length of the ton cables? Bound to the near est tenthb. Explain the method you use to calculate the length. A 54 60 63 72 31. Performance Task Emaan designs the birdhouse 5.ft shown below. 12.5 cm 12.5 cm 8. Look for Relationships For a crane to lift the beam shown below, the beam and the two support cables must form an isosceles triangle with height h. If the distance between the 9.2 cm cables along the beam is 18 ft and the height h is 8 ft, what is the total length of the two cables? Round to the nearest tenth of a foot. Part A What is the total height of the birdhouse? Show your work. Part B If Emaan decides to change the design by increasing each side of the roof from 12.5 cm to 15.2 cm, what will be the new height of the birdhouse? All other labeled dimensions on the birdhouse will remain unchanged. I length of the two cables is 72.5 units LESSON 4-2 Isosceles and Equilateral Triangles 165 +