P1252109244aQVkA

1
Notes Over 8.2
Solving Oblique Triangles
To solve an oblique triangle , you need to be
given one side, and at least two other parts
(sides or angles).
4 cases for oblique triangles
1. Two angles and any side (AAS or ASA)
C
2. Two sides and an angle opposite one of them
(SSA)
a
b
3. Three sides (SSS)
A
B
4. Two sides and their included angle (SAS)
c
The first two cases use Law of Sines, the last
two will use the Law of Cosines.
2
Notes Over 8.2
Law of Cosines
If ABC is a triangle with sides a, b, c, then
according to the law of cosines,
3
Notes Over 8.2
The SAS Case
Solve ?ABC
Find
4
Notes Over 8.2
The SAS Case
Solve ?ABC
Find
5
Notes Over 8.2
Law of Cosines
If ABC is a triangle with sides a, b, c, then
according to the law of cosines,
6
Notes Over 8.2
The SSS Case
Solve ?ABC
Find
7
Notes Over 8.2
The SSS Case
Solve ?ABC
Find
8
Notes Over 8.2
5. The pitchers mound on a softball field is 43
feet from home plate and the distance between the
bases is 60 feet. (The pitchers mound is not
halfway between home plate and second base.) How
far is the pitchers mound from first base?
h
P
F
43
60
45o
H
9
Notes Over 8.2
Herons Area Formula
For any triangle, given three sides

1. Find the area of a triangular region having sides
   of length 43 meters, 53 meters, and 72 meters.

10
Notes Over 8.2
Pg. 595, 8.2 1-16, 23-28 all