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Trig 2 Law of Sines
HW worksheet
January 07, 2015
The Law of SinesObjecves:1. To apply the Law of Sines2. 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:
Trig 2 Law of Sines
HW worksheet
January 07, 2015
Triangle AreaYou can find the area of a triangle by using the follwing: A = 1/2 ab sinCwhere a & b are the lengths of 2 sides and C is the angle between these two sides.
b
aC
h
Find b. Round to the nearest tenth.
A
C
B37o
b
68o 3
18
9
50o
Find the area
Trig 2 Law of Sines
HW worksheet
January 07, 2015
Find p. Round to the nearest tenth.Then, find the area of ΔPQR
RP17o 29o
8Q
What is the area of ΔLMN if n = 7, l = 9, and measure of angle N = 43o?
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 85 o. 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?
Trig 2 Law of Sines
HW worksheet
January 07, 2015
HW: Law of Sines Worksheet