How do you find the height of the building?

1. How do you find the height of the building? 96 ft x ft 8 ft 4 ft

2. In this lesson you will learn how to find the side length of a triangle by using the angle-angle criterion of similar triangles.

3. Similar Figures a d e c b f

4. = = Similar Figures a d e c b f

5. a d e c b f

6. 96 ft x ft 96 ft 8 ft x ft 4 ft 8 ft 4 ft

7. = 96 8 96 ft 4 x x ft 8 ft 4 ft

8. 8 • ? = 96 96 ft Scale Factor 8 • 12 = 96 48 ft 8 ft 4 ft 4 • 12 = 48 6 • 12 = 72 6 ft 72 ft

9. = 96 8 96 ft 4 x 8(x) = 96(4) x ft 8 ft 8x = 384 4 ft x = 48 48 feet

10. In this lesson you have learned how to find the side length of a triangle by using the angle-angle criterion for similar triangles.

11. Find the height of the flagpole. 5 ft 10 ft 30 ft

12. Find the height of the flagpole in the diagram below. 4 ft 8 ft 36 ft

13. Find the value of x in the figure below. a 20 d 2x + 1 c b f e 2x -1 12

14. Find the value of x in the figure below. a 25 d 4x + 7 12 20 c b f e 8 6x - 2

15. Find the value of x in the figure below 110 ft x ft 10 ft 5 ft

16. Find the value of x in the diagram below. a 72 ft 330 d 12 ft 330 670 670 e c b f x 24 ft

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