Download Algebra Expressions and Real Numbers

Section 6.2
The Law of Cosines
The Law of Cosines and Its
Derivation
Deriving the Law of Cosines
Solving Oblique Triangles
Example
Find the unknown side, and two
unknown angles.
b  8 inches
1200
c  10 inches
Example
Find all three unknown angles.
b  12 inches
c  4 inches
a  7 inches
Application of the Law of
Cosines
Example
Find angle  between
the two paces for both
the carnivore and the herbivore.
Example
If you are on island B, what bearing
should you navigate to go to island C ?
4 Miles
3 Miles
If you are on island B, what bearing
should you navigate to go to island A?
2 Miles
Heron’s Formula
Example
Bob Fernando's triangular property has the measurements
of 40 yards, 50 yards and 30 yards. Find the area of the
property.
b  8 inches
a
49 0
c  7 inches
(a)
39.52 inches
(b)
6.85 inches
(c)
38.85 inches
(d)
6.29 inches
Find the measure of side a.
b  8 inches
c  8 inches
(a) 49.87 0
(b) 51.89 0
(c) 61.72 0
(d) 68.980
a  7 inches
Find the measure of angle A.