1. Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004

2. Solving Triangles To solve a non-right triangle you need at least 3 pieces of information: – 3 sides – 2 sides & the angle between – 2 sides & an angle opposite – 2 angles & 1 side SAS ASA, AAS SSS SSA Chapter 10 – Section G: The Cosine Rule

4. Cosine Rule a 2 =b 2 + c 2 –2bc cosA b 2 =a 2 + c 2 –2ac cosB c 2 =a 2 + b 2 –2ab cosC This is all one term. SSS SAS Solving for a Side

5. 1) Find, correct to 3 sig figs, the length of BC.

6. Law of Cosines SSS SAS Solving for an Angle

7. 2) In triangle ABC, if AB = 7 cm, BC = 8 cm and CA = 5 cm, find the measure of angle BCA.

8. Calculate: (a)the size of the angle BAC; (b)the area of the flower bed. 3) A gardener pegs out a rope, 19 meters long, to form a triangular flower bed as shown in this diagram. B A C 5 m 6 m Diagram not to scale

9. Chapter 10 – Section H Continued THE AMBIGUOUS CASE… OF THE SINE RULE

10. 4) In triangle ABC, find the measure of angle C given that c = 10cm, a = 6cm, and A = 30° Scenario 1

11. 5) In triangle ABC, find the measure of angle C given that c = 10cm, a = 12cm and A = 30° Scenario 2

12. 6) In triangle ABC, find the measure of angle C given that c = 10cm, a = 5cm, and A = 30° Scenario 3

13. 7) In triangle ABC, find the measure of angle C given that c = 10cm, a = 3cm, and A = 30° Scenario 4

14. Homework Exercise 10G, pg340 – #1, 2, 3 Exercise 10H.2, pg343 – #2