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6.2 Law of Cosines 2 Notecards. Used to solve triangles with SAS and SSS:. SSS: Find the largest angle first with the Law of Cosines, then find the next largest angle with the Law of Sines.

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Presentation Transcript
slide2

Used to solve triangles with SAS and SSS:

SSS: Find the largest angle first with the Law of Cosines, then find the next largest angle with the Law of Sines.

SAS: Find the 3rd side with the Law of Cosines, then use the Law of Sines to solve for one of the smaller angles.

Law of Cosines – SAS and SSS

slide3

Ex 1: Find the remaining sides and angles

B

* Always find the largest angle first and work down from there.

14

8

C

A

19

slide4

Ex 2: b=15, A=115°, c=10

Find the missing angles and sides

slide5

Ex 3. In a baseball game, a batter hits the ball to center field. The center fielder then throws the ball to third base . The distance from the center fielder to home plate is 240 feet. The distance between the bases is 60 feet. How far did the center fielder throw the ball?

slide6

Ex 4: A ship travels 60 miles due east, then adjusts its course northward as shown below. After traveling 80 miles in this direction, the ship is 139 miles from it’s point of departure. Describe the bearing from point B to point C

C

A

B

slide7

Area of Oblique Triangle- with SSS

Heron’s formula:

Area=

Area of Oblique Triangle – with SSS

homework 6 2
Homework 6.2

p. 443 1-9 odd, 25,29,31,34,35,37