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6.2 Laws of Cosines. Law of Cosines Find all the parts of a triangle.

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Presentation on theme: "6.2 Laws of Cosines. Law of Cosines Find all the parts of a triangle."— Presentation transcript:

1 6.2 Laws of Cosines

2 Law of Cosines

3 Find all the parts of a triangle

4 Using the Law of Cosines find b

5 Find A

6

7 Find C Angle C can not be 130.9 degrees, Why?

8 Area of a Triangle with using only sides: Heron Area Formula Hero (or Heron) of Alexandria (Greek: Ἥ ρων ὁ Ἀ λεξανδρεύς) (c. 10–70 AD) was an ancient Greek mathematician and engineer who was active in his native city of Alexandria, Roman Egypt. He is considered the greatest experimenter of antiquity and his work is representative of the Hellenistic scientific tradition.GreekGreek mathematicianengineerAlexandriaRoman EgyptHellenistic Hero published a well recognized description of a steam-powered device called an aeolipile (hence sometimes called a "Hero engine"). Among his most famous inventions was a windwheel, constituting the earliest instance of wind harnessing on land.steam-powered deviceaeolipilewindwheelwind harnessing http://en.wikipedia.org/wiki/Hero_of_Alexandria

9 Heron Area Formula

10 Find the Area Area of ABC

11 Find the Area Area of ABC

12 Find the Area Area of ABC

13 Homework

14 Page 423 – #4, 10, 16, 22, 28, 34, 39, 48


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