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Shivam Bhagat Grade: 9
        

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!!

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

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

6 years ago
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