1. Geometry The function of education is to teach one to think intensively and to think critically. Intelligence plus character - that is the goal of true education. Martin Luther King, Jr. Today: 8.3 Instruction Practice

2. 8.3 Special Right Triangles Objectives: 1.Identify special right triangles 2.Use special right triangles to solve for missing side lengths Vocabulary: 30:60:90, 45:45:90

3. CCSS Content Standards G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. Mathematical Practices 1 Make sense of problems and persevere in solving them. 7 Look for and make use of structure.

4. Then/Now You used properties of isosceles and equilateral triangles. Use the properties of 45°-45°-90° triangles. Use the properties of 30°-60°-90° triangles.

5. What type of triangle is ΔABC? If AC = 1, find AB. A BC

6. A BC

7. 30° 60°

8. 5 x y Find the value of x and y. 45° Helpful Hints: Label all angles and locate the short leg. Find the value of the short leg. Find the value of remaining side(s) from the short leg. 60° y x

9. Find the value each variable. m n 45° 60° b a 12

10. Geometry The function of education is to teach one to think intensively and to think critically. Intelligence plus character - that is the goal of true education. Martin Luther King, Jr. Assignment:  P. 562 #9-25 odd  CALCULATOR WITH SIN ASAP

11. Geometry The function of education is to teach one to think intensively and to think critically. Intelligence plus character - that is the goal of true education. Martin Luther King, Jr. Today: Homework Check 8.3 More Practice

12. Homework Quiz Take out a piece of notebook paper label it CHAPTER 9 HOMEWORK QUIZ. Write down the date (3/5), then write out p 562 # 19 (INCLUDING PICTURE!!!), your work and your answer.

13. Example 1 A. Find x. A.3.5 B.7 C. D.

14. Example 2 Find b. A. B.3 C. D.

15. Example 4 BOOKENDS Shaina designed 2 identical bookends according to the diagram below. Use special triangles to find the height of the bookends. A. B.10 C.5 D.

16. 5-Minute Check 1 Find x and y. A. B. C. D.

17. 5-Minute Check 6 The hypotenuse of a 30°-60°-90° triangle measures inches. What is the length of the side opposite the 30° angle? A.10 in. B.20 in. C. D.

18. Find the value of x and y. Write answers in simplest radical form. x

19. Find the value of each variable. Write answers in simplest radical form.

20. Geometry The function of education is to teach one to think intensively and to think critically. Intelligence plus character - that is the goal of true education. Martin Luther King, Jr. Assignment:  P. 563 #29-38  CALCULATOR WITH SIN ASAP

21. Example 1 B. Find x. A. B. C.16 D.32

22. Example 3 Find BC. A.4 in. B.8 in. C. D.12 in.

23. 5-Minute Check 5 A.(–1, 3) B.(–3, 3) C.(5, 3) D.(6, 2) ΔMNP is a 45°-45°-90° triangle with right angle P. Find the coordinates of M in Quadrant II for P(2, 3) and N(2, 8).

24. 5-Minute Check 4 The side of an equilateral triangle measures 21 inches. Find the length of an altitude of the triangle. A. in. B.12 in. C.14 in. D. in.

25. 5-Minute Check 3 A.15 cm B.30 cm C.45 cm D.60 cm The length of the diagonal of a square is centimeters. Find the perimeter of the square.

26. You work for the village and you are commissioning new road sign. A typical yield sign is an equilateral triangle with a side length of 36 in. Estimate how much metal you will need to make 75 signs. h 18 in. 36 in. Two companies have made offers to supply the metal. One is offering a rate of $0.40 per square foot. The other is offering 40,000 square inches for $100. Which is a better deal?

27. Geometry The function of education is to teach one to think intensively and to think critically. Intelligence plus character - that is the goal of true education. Martin Luther King, Jr. Assignment:  P. 566 #51-59  CALCULATOR WITH SIN ASAP