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Warm-Up 5/29/13

Warm-Up 5/29/13. Convert each degree to a radian and each radian to a degree 30 ° 240 ° 4. . 13-4 Law of Sines. CA Standard . SWBAT: Know the law of sines and the law of cosines and apply those laws to solve problems. Area of a Triangle.

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Warm-Up 5/29/13

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  1. Warm-Up 5/29/13 Convert each degree to a radian and each radian to a degree 30° 240° 4.

  2. 13-4 Law of Sines

  3. CA Standard SWBAT: Know the law of sines and the law of cosines and apply those laws to solve problems.
  4. Area of a Triangle The area of a triangle is ½ the product of the lengths of two sides and the sine of their included angle. C A= ½bc sin A b a A = ½ac sin B A B A = ½ab sin C c
  5. Example 1: A = ½ ac sin B A = ½(5)(6) sin 112° A ≈ 13.9 Find the area of ABC to the nearest tenth. A 6 ft B 112° C 5 ft
  6. Example 2: Your Turn Find the area of ABC to the nearest tenth if A = 31°, b = 18 m, and c = 22m A = ½ bc sin A A = ½(18)(22) sin 31° A ≈ 102.0 m2
  7. Law of Sines Let ABC be any triangle with a, b, and c representing the measures if sides opposite angles with measurements A, B, and C respectively. Then
  8. Example 3: Solve ABC C b 55° a A 45° B 12
  9. Example 3: Solve ABC C b 55° 10.4 A 45° 80° 12
  10. Example 4: Your Turn Solve ABC C 17 20 A 118° B
  11. Example 4: Your Turn Solve ABC C 17 20 A 118° 49°
  12. Example 5: Your Turn Solve ABC C 12 13 A 25° B
  13. Example 5: Your Turn Solve ABC C 17 20 A 118° 49°
  14. Example 6: Your Turn Solve ABC C 9 5 A 50° B
  15. Your Homework pg. 790 #11-22
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