Honors Precalculus April 16, 2018 Mr. Agnew

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Presentation transcript:

Honors Precalculus April 16, 2018 Mr. Agnew The Law of Cosines Honors Precalculus April 16, 2018 Mr. Agnew

Essential Stuff Essential Question Essential Vocabulary How do you find the missing sides and angles of a triangle? Essential Vocabulary Law of Sines Law of Cosines Right Triangle Trigonometry

What’s the Problem? Solve using the Law of Sines. A D 1. 2. 23 8 11 51° C O T 42 17 G

Law of Cosines

The Law of Cosines Use Law of Cosines with SAS and SSS. What if given angle is right angle? Pythagorean Theorem is a special case of the Law of Cosines. Guided Practice Sample Problems Worksheet

Heron’s Formula If three sides of a triangle are known, we can use Heron’s Formula to find the area of that triangle: s = ½ (a + b + c) Examples

Homework: 4/16/18 Page 535 – 537 # 19, 29, 33, 37, 39, 43, 45, 47, 51, 53 Page 541 #7, 11, 17, 37, 41