1. Special Right Triangles
Chapter 8.3
DNA

2. NUMBER SENSE

3. STATISTICS, DATA, AND PROB.

4. ALGEBRA AND FUNCTIONS

5. MEASUREMENT AND GEOMETRY

6. MATHEMATICAL REASONING

7. ALGEBRA 1

8. Find the length of the Hypotenuse5
45o

9. Find the length of the Hypotenusex
45o

10. 45o-45o-90o Triangle The hypotenuse is 2 times as long as each leg.
x, x, x(2) x

11. Find the missing sides 7 7

12. Find the missing sides 8

13. Find the missing sides

14. Find the length of the missing side10 5
60o
30o

15. Find b. A.
B. 3 C. D. A B C D
Lesson 3 CYP2

16. Find the length of the missing side2x x
60o
30o

17. 30o-60o-90o Triangle
Legs x, x3
Hypotenuse 2x 2x x
60o
30o

18. Find the missing side lengths8
60o
30o 16

19. Find the missing side lengths
60o
30o 12 6

20. Find the missing side lengths
60o
30o 15

21. Find the missing side lengths
60o
30o 8

22. Find the missing side lengths
60o
30o 12

23. Find BC.
A. 4 in.
B. 8 in. C.
D. 12 in. A B C D
Lesson 3 CYP3

24. Special Triangles in a Coordinate Plane
Copy this problem!
COORDINATE GEOMETRY ΔWXY is a 30°–60°–90° triangle with right angle X and as the longer leg.
Graph points X(–2, 7) and Y(–7, 7), and locate point W in Quadrant III.
Lesson 3 Ex4

25. II I III IV Coordinates: (-2, -1.7) W YX= 5
Special Triangles in a Coordinate Plane
Graph X and Y lies on a horizontal gridline of the coordinate plane. Since will be perpendicular to it lies on a vertical gridline. Find the length of
Short leg
YX= 5 II I
Long leg XW =
Coordinates:
(-2, -1.7)
III IV W
Lesson 3 Ex4

26. COORDINATE GEOMETRY ΔRST is a 30°–60°–90° triangle with right angle R and as the longer leg. Graph points T(3, 3) and R(3, –6) and locate point S in Quadrant III. What are the approximate coordinates of S?
A. (–4.8, –6)
B. (–2.2, –6)
C. (–1.5, –6)
D. (–12.6, –6) A B C D
Lesson 3 CYP4

27. Homework
Chapter 8.3
pp. 451
#1 – 5, , 34, 36, 40, 42, 44 and 48