Copyright © 2011 Pearson, Inc. 5.6 Law of Cosines.

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Copyright © 2011 Pearson, Inc. 5.6 Law of Cosines

Copyright © 2011 Pearson, Inc. Slide What you’ll learn about Deriving the Law of Cosines Solving Triangles (SAS, SSS) Triangle Area and Heron’s Formula Applications … and why The Law of Cosines is an important extension of the Pythagorean theorem, with many applications.

Copyright © 2011 Pearson, Inc. Slide Law of Cosines

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle (SAS)

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle (SAS)

Copyright © 2011 Pearson, Inc. Slide Example Solving a Triangle (SAS)

Copyright © 2011 Pearson, Inc. Slide Area of a Triangle

Copyright © 2011 Pearson, Inc. Slide Heron’s Formula

Copyright © 2011 Pearson, Inc. Slide Example Using Heron’s Formula Find the area of a triangle with sides 10, 12, 14.

Copyright © 2011 Pearson, Inc. Slide Example Using Heron’s Formula Find the area of a triangle with sides 10, 12, 14.

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test 9.A hot-air balloon is seen over Tucson, Arizona, simultaneously by two observers at points A and B that are 1.75 mi apart on level ground and in line with the balloon. The angles of elevation are as shown here. How high above ground is the balloon?

Copyright © 2011 Pearson, Inc. Slide Chapter Test 10.A wheel of cheese in the shape of a right circular cylinder is 18 cm in diameter and 5 cm thick. If a wedge of cheese with a central angle of 15 º is cut from the wheel, find the volume of the cheese wedge.

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions 9. A hot-air balloon is seen over Tucson, Arizona, simultaneously by two observers at points A and B that are 1.75 mi apart on level ground and in line with the balloon. The angles of elevation are as shown here. How high above ground is the balloon? ≈ 0.6 mi

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions 10.A wheel of cheese in the shape of a right circular cylinder is 18 cm in diameter and 5 cm thick. If a wedge of cheese with a central angle of 15 º is cut from the wheel, find the volume of the cheese wedge. 405π/24 ≈ 53.01