5.6 law of cos worked

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Transcript of 5.6 law of cos worked

Page 1: 5.6   law of cos worked

Homework QuestionsHomework Questions

Page 2: 5.6   law of cos worked

Section 5.6Section 5.6Law of Cosines

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Law of CosinesLaw of Cosines

Cabbac

Baccab

Abccba

cos2

cos2

cos2

222

222

222

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Solve the TriangleSolve the TriangleA = 120°, b = 9, c = 5

A = a = B = b = C = c =

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Solve the TriangleSolve the Trianglea = 24, b = 40, c = 18

A = a = B = b = C = c =

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Solve the TriangleSolve the Trianglea = 11, b = 5, C = 20°

A = a = B = b = C = c =

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Area of TrianglesArea of Triangles Area Formulas Heron’s Formula

where

CabA

BacA

AbcA

sin21

sin21

sin21

))()(( csbsassK

)(21 cbas

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Find the area:Find the area:a = 82, b = 95, c = 72

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Find the area:Find the area:a = 13, b = 15, c = 18

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HomeworkHomeworkWorksheetP. 494 (17-20, 35-38)

Stickers: p. 494 (1-16, 29-34)