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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!!

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!!

10 years ago

Answers : (1)

vikas askiitian expert
509 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

10 years ago
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