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there is a triangle whose angles are 45, 75, 60. if the side opp. to 75 angle is 9cm then find the value of side opp. to 60 degree????? pls explain!!

there is a triangle whose angles are 45, 75, 60.  if the side opp. to 75 angle is 9cm then find the value of side opp. to 60 degree????? pls explain!!

Grade:9

1 Answers

vikas askiitian expert
509 Points
10 years ago

here we can use sine rule , according to this rule 

=> ratio of side & sine of oppsite angle is constant..

a/sinA = b/sinB = c/sinC = K

 

side opposite to 75o is 9 so ratio = 9/sin75o

 

let opposite  side to 60o is x then ratio = x/sin60o

 

ratio is constant so x/sin60 = 9/sin75

 

  x = (9sin60/sin75)

 

sin75 = (root3+1)/2(root2) , sin60 = root3/2

 

 so , x = 9root6/(root3+1)     ans

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