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

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Presentation transcript:

6.2 Laws of Cosines

Law of Cosines

Find all the parts of a triangle

Using the Law of Cosines find b

Find A

Find C Angle C can not be degrees, Why?

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

Heron Area Formula

Find the Area Area of ABC

Find the Area Area of ABC

Find the Area Area of ABC

Homework

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