Lesson 8E Triangle Area by Trigonometry Practice Understanding

Ready

1.

The chart shows the total area of a few states in the United States. It also shows the total land area that is less because part of the total area is underwater. Use the information to calculate the percent of the state that is underwater.

State

Total Area

Land Area

of Area Underwater

Florida

Illinois

New Mexico

North Carolina

Wisconsin

Use the data in the chart to solve the problems.

2.

A dry climate is very beneficial for people with arthritis and osteoporosis. If you have these ailments, which state in the list would be best for your health?

3.

If you want to live near water, which state would be the best choice?

4.

Can you think of a different reason for your answer in #3 besides the of area underwater? Explain.

Set

5.

Find the area of in terms of sine . Explain each step.

Triangle ABC with AB = c, BC = a, AC = b.

Find the area of the triangle having the indicated sides and angle.

6.

, ,

7.

, ,

8.

, ,

9.

, ,

10.

, ,

Go

Indicate whether you would use the Law of Sines or the Law of Cosines to solve the triangles. Then solve for the missing values.

11.

Find , , and .

Triangle ABC with AB = 118 mm, BC = 55.7 mm, AC = 110 mm.

12.

Find , , and .

Triangle ABC with angle C 60 degrees, angle A 80 degrees, CB = 28 mm.

13.

Find and and .

Triangle ABC with angle C 52 degrees, AC = 14 yd and CB = 19 yd.

14.

Find , , and .

Triangle ABC with angle C 22 degrees, angle A 83 degrees and AB = 7 ft.