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Class Work

Class Work. Sketch a right triangle that has acute angle  , and find the five other trig ratios of . Evaluate the expression without using a calculator. Class Work. 3. Solve the triangle. Section 6.5 Law of Cosines. Objectives: Use the Law of Cosines to solve triangles.

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Class Work

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  1. Class Work • Sketch a right triangle that has acute angle , and find the five other trig ratios of . • Evaluate the expression without using a calculator.

  2. Class Work 3. Solve the triangle.

  3. Section 6.5Law of Cosines Objectives: Use the Law of Cosines to solve triangles. Use Heron’s Formula to find the area of a triangle.

  4. Law of Cosines:

  5. If you need to solve for an angle you will want to use these formulas instead.

  6. Ex 1. Solve the triangle. C 5 8 B A 12

  7. Ex 2. Solve the triangle. C 76 39 B A 63

  8. Class Work 4. Use the Law of Cosines to solve for .

  9. Ex 3. Solve ABC given A=25, b = 10, c = 20

  10. EX 4. Solve for x.

  11. Class Work 5. Solve for x.

  12. 6. Solve ABC given b = 60, c = 30, A=70.

  13. 7. Determine whether you need to use the Law of Sines or the Law of Cosines to solve. Then find either x or . a) c) b) d)

  14. Heron’s Formula:

  15. Ex 5. Find the area of the triangle with sides a =15, b = 23, c = 16.

  16. Class Work 8. Find the area of the triangle with sides a = 50, b = 17, c = 41.

  17. HW #4 P513 2,3,5,8,9,12,19-22all,27,28

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