betseydemarcus betseydemarcus
  • 12-07-2020
  • Mathematics
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Find the lengths of the remaining sides of the triangle. c = 14 a is 60 degrees b is 30 degrees a = b =

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sqdancefan
sqdancefan sqdancefan
  • 12-07-2020

Answer:

  • a=7√3
  • b=7

Step-by-step explanation:

Angle C is ...

  C = 180° -A -B = 180° -60° -30° = 90°

This is a right triangle with hypotenuse length 14.

  a = c·sin(A) = 14·sin(60°) = 7√3

  b = c·sin(B) = 14·sin(30°) = 7

The remaining sides are b=7 and a=7√3.

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