djmccarter
djmccarter djmccarter
  • 19-06-2019
  • Mathematics
contestada

Find the measure of angle B in the following triangle

Find the measure of angle B in the following triangle class=

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 19-06-2019

Answer:

27.6 degrees

Step-by-step explanation:

Use Cosine rule on Acute triangle

b² = a² + c² - 2ac Cos B

where b = 10, a = 14, c = 20

10² = 14² + 20² - 2(14)(20) Cos B

-496 = -560 Cos B

Cos B = (-496) / (-560)

B = [tex]Cos^{-1}[/tex] (-496) / (-560) = 0.483 radians = 27.6 degrees

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