Law of Sines

HW worksheet 1

January 14, 2014

Apr 30­9:18 AM

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:

Law of Sines

HW worksheet 2

January 14, 2014

Apr 30­9:37 AM

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

Law of Sines

HW worksheet 3

January 14, 2014

Apr 30­9:32 AM

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?

Law of Sines

HW worksheet 4

January 14, 2014

Apr 30­9:52 AM

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?

Law of Sines

HW worksheet 5

January 14, 2014

May 9­7:50 AM

HW: Law of Sines Worksheet