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Section 1.3.1 Law of Sines and Area

Section 1.3.1 Law of Sines and Area. SAS Area.

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Section 1.3.1 Law of Sines and Area

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  1. Section 1.3.1 Law of Sines and Area

  2. 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. A a) Write an expression for the area, K, of triangle ABC. B C 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.

  3. 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.

  4. Law of Sines: ASA and AAS Triangles 1-94 Use the diagram to complete the following problems, given triangle ABC is acute. C a) Write an expression to express h in terms of angle A and side b. A 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

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

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

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

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

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