2. Section 1.3.1 Law of Sines and Area

3. SAS Area 1-90 Since SAS determines a triangle, it should be possible to find its area given the 2 sides and the angle between those sides. Since the letter A is already used as a vertex of our generic triangle, use the letter K to denote the area of the triangle. B A C a) Write an expression for the area, K, of triangle ABC. b) Using angle C and hypotenuse b, find an expression for the height h. c) Now combine your results from parts a and b to find a formula for the area in terms of angle C and sides a and b.

4. 1-91 Two adjacents sides of a triangle are 4 cm and 6 cm in length, the angle between them is 76 degrees. Use the formula found in part c of the last problem (called SAS formula to find the area of the triangle.

5. Law of Sines: ASA and AAS Triangles 1-94 Use the diagram to complete the following problems, given triangle ABC is acute. B A C a) Write an expression to express h in terms of angle A and side b. b) Write an equation to express h in terms of angle B and side a. c) Use your results from parts a and b to show that

6. Law of Sines: ASA and AAS Triangles 1-94 Use the diagram to complete the following problems, given triangle ABC is acute. B A C d) e)

7. A B C a c b The Law of Sines is: or

8. Example: In  CAT,  A= 127 °,  C= 15 ° and t = 8 cm. Solve  CAT. C T A

9. Assignment Pg 37 #1-92, 1-93, 1-96 TO 1- 101