The document is a worksheet on applying the Law of Sines to solve for unknown sides and angles of triangles. It contains examples of using the Law of Sines when two angles and a side are known, when two sides and the angle between them are known, and formulas for finding the area of a triangle given two sides and the angle between them. It includes practice problems for students to solve using the Law of Sines to find missing side lengths, angles, and areas of various triangles.

1. Trig 2 Law of Sines
HW worksheet
January 07, 2015
The Law of Sines
Objecves:
1. To apply the Law of Sines
2. To develop problem‐solving skills.
The Law of Sines can be used to find missing parts of any triangles!
A
C
B
b
c
a
Law of Sines
sin A sin B sin C
a b c
= =
In ΔABC: a, b, & c represent
the measures of the sides
opposite the angles with
measures A, B, & C.
THEN:
The Law of Sines can be used to solve a triangle in the following cases:
Case 1: You know the measure of two angles and any side
of a triangle.
What is looks like:
Case 2: You know the measures of 2 sides and an angle
opposite one of these sides of the triangle.
What is looks like:

2. Trig 2 Law of Sines
HW worksheet
January 07, 2015
Triangle Area
You can find the area of a triangle by using the follwing:
A = 1
/2 ab sinC
where a & b are the lengths of 2 sides andC is the angle
between these two sides.
b
aC
h
Find b. Round to the nearest tenth.
A
C
B
37o
b
68o
3
18
9
50o
Find the area

3. Trig 2 Law of Sines
HW worksheet
January 07, 2015
Find p. Round to the nearest tenth.
Then, find the area of ΔPQR
RP
17o 29o
8
Q
What is the area of ΔLMN if n = 7, l = 9, and
measure of angle N = 43o
?

4. Trig 2 Law of Sines
HW worksheet
January 07, 2015
A house is built on a triangular plot of land. Two sides of the
plot are 160 feet long, and they meet at an angle of 85o
. If a
fence is to be placed along the perimeter of the property, how
much fencing materials is needed?
How many square feet of property does the landowner possess?

5. Trig 2 Law of Sines
HW worksheet
January 07, 2015
HW: Law of Sines Worksheet