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Law of Sines and Area of a Triangle

Law of Sines and Area of a Triangle. Mrs. King Pre-Calculus. Right Triangle Trig. What is the figure labeled “h” called?. D. Right Triangle Trig. D. Law of Sines.

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Law of Sines and Area of a Triangle

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  1. Law of Sinesand Area of a Triangle Mrs. King Pre-Calculus

  2. Right Triangle Trig What is the figure labeled “h” called? D

  3. Right Triangle Trig D

  4. Law of Sines • If we were to draw a new altitude to side AC or to side AB, we would arrive at different proportions. Thus, the law of sines states:

  5. Example #1 • In triangle EFG, e=4.56, E=43, and G=57. Solve the triangle. F E G

  6. Example #2 • During a rescue mission, a Marine fighter pilot receives data on an unidentified aircraft from an AWACS plane and is instructed to intercept the aircraft. How far must the pilot fly given the following diagram?

  7. Example #2 (con’t) Point of interception 115 27 Unidentified craft 500 km Pilot

  8. Right Triangle Trig D

  9. Practice:

  10. Given the parallelogram shown, find its EXACT area.

  11. Now, the diagonal of a parallelogram divides the parallelogram into two congruent triangles.  So the total area of the parallelogram will be square units.

  12. Homework Page 650 #1,2,4-7,17-22,24,26,29

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