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king99
king99 king99
  • 08-08-2016
  • Mathematics
Answered

Solve the triangle.


a = 10, b = 23, C = 95°

Verified Answer :

kiddhyper
kiddhyper kiddhyper
  • 08-08-2016

c² = a² + b² - (2ab cosC) 
c² = 10² + 23² - (2
10 23 cos95) 
c² = 100 + 529 - (460 -.08715) 
c² = 629 - (-40.1) 
c² = 669.1 
c = 25.87 

(Sin C) / C = (Sin A) / A 
(Sin 95) / 25.87 = SinA / 10, Remember 0 < A < 85 
(10
Sin95) / 25.87 = Sin A 
A = arcsin ((10 * sin95) / 25.87) 
A = 22.65º 

B = 180 - A - C 
B = 180 - 95 - 22.65 
B = 62.35º 

I hope this helps. Have a good day.

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