moneygreen5711 moneygreen5711
  • 23-05-2021
  • Mathematics
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State whether the given measurements determine zero, one, or two triangles. C = 31°, a = 13, c = 11

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sqdancefan
sqdancefan sqdancefan
  • 23-05-2021

9514 1404 393

Answer:

  2

Step-by-step explanation:

The given angle is opposite the shorter of the given sides, so there are two possible triangles.

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Additional comment

The law of sines tells you that sin(A) = a/c·sin(C). There will be 0 triangles if that is greater than 1. There will be 1 triangle if that is exactly 1 (unlikely with rational values of sides and angles). There will be 2 triangles if sin(A) < 1, as it is here.

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