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Pg. 443 Homework

Pg. 443 Homework. Pg. 435 #3 – 8 all, 10, 12 – 15, 18, 21. 8.1 Law of Sines. Oblique Triangles. Law of Sines. In any triangle ABC , In triangle ABC , β = 30°, a = 6, b = 7. Find the unknown sides and angles. . Can be Acute …or Obtuse. 8.1 Law of Sines. Special Cases:.

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Pg. 443 Homework

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  1. Pg. 443 Homework Pg. 435 #3 – 8 all, 10, 12 – 15, 18, 21
  2. 8.1 Law of Sines Oblique Triangles Law of Sines In any triangle ABC, In triangle ABC, β = 30°, a = 6, b = 7. Find the unknown sides and angles. Can be Acute …or Obtuse
  3. 8.1 Law of Sines Special Cases: If b is too short, no triangle is formed. (Case 1) If b represents the perpendicular distance from C to the x axis, a right triangle is formed. (Case 2) If b is just a bit longer than the perpendicular but still shorter than a, two triangles can be formed. (Case 3) If b is as long as (Case 4) or longer (Case 5) than a, a unique triangle is formed. Suppose that angle β and side a are given and that β is placed on a coordinate system in standard position. There are several ways of completing a triangle by drawing side b from vertex C down to the x axis.
  4. 8.1 Law of Sines Visuals Example: Suppose in triangle ABC that β = 30° and a = 6. How many triangles are formed if b = the following: b = 2 b = 3 b = 5 b = 7
  5. 8.2 Law of Cosines Definition Law of Cosines For any triangle ABC, labeled in the usual way Solve triangle ABC ifa = 4, b = 7, ɣ = 42°. Law of Sines is best for when you have two angles and one side or when two sides and a non-included angle are given. Law of Cosines is best when you have two sides and the included angle (Law of Sines does not apply here!)
  6. 8.2 Law of Cosines Solving an Oblique Triangle Area of Triangles Let ABC be a triangle labeled in the usual way. Then the area A of the triangle is given by:
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