Lesson 6.5 Law of Cosines. Solving a Triangle using Law of Sines 2 The Law of Sines was good for: ASA- two angles and the included side AAS- two angles.

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Presentation transcript:

Lesson 6.5 Law of Cosines

Solving a Triangle using Law of Sines 2 The Law of Sines was good for: ASA- two angles and the included side AAS- two angles and any side SSA- two sides and an opposite angle (being aware of possible ambiguity) Why would the Law of Sines not work for an SAS triangle? ° No side opposite any angle!

Law of Cosines: 3

Applying the Cosine Law 4 Solve this triangle: ° A B C c

Applying the Cosine Law 5 Now, calculate the angles: Use and solve for B: ° A B C c = 6.65

Applying the Cosine Law 6 Here’s angle A : 180 – – 26 = 55.52° ° A B C c = °

Wing Span 7 The leading edge of each wing of the B-2 Stealth Bomber measures feet in length. The angle between the wing's leading edges is °. What is the wing span (the distance from A to C)? Answer: ft. A C

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