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2. calculate the measure of angle A. a = 10 C = 7 b = 8 A

The oblique triangle has a given if three sides (SSS). Find the angle A, using the law of cosines (angle version).

  • cos A = b² + c² - a² / ²bc
  • cos A = 8² + 7² - 10² / 2(8)(7)
  • cos A = 64 + 49 - 100 / 2 (8)(7)
  • cos A = 13/112
  • ∠A = cos -¹ (13/112)
  • ∠A = 83.33°

hope this helps :)