SOLUTION: I do not understand these at all could use help. Solving Triangle's 1.K=40and k=26.FindL,j and l. 2.j=65 and l=55. Find K,L and k. 3.Solve Triangle ABC.Round to the nearest ten

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Question 173459: I do not understand these at all could use help.
Solving Triangle's
1.K=40and k=26.FindL,j and l.
2.j=65 and l=55. Find K,L and k.
3.Solve Triangle ABC.Round to the nearest tenth if necessary.A=30,B=45,and a=10

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
I do not understand these at all could use help.
Solving Triangle's
1.K=40and k=26.FindL,j and l.
You have to know at least 3 elements to find the others. You have only 2.
---------------------
2.j=65 and l=55. Find K,L and k.
2 sides is not sufficient. You need at least 3 elements.
------------------
3.Solve Triangle ABC.Round to the nearest tenth if necessary.A=30,B=45,and a=10
The 3rd angle is 180 - 75 = 105 degs
---------------
Use the law of sines to find side b
b/sin(B) = a/sin(A)
b = a*sin(B)/sin(A)
b = 10*sin(45)/sin(30)
b = 10sqrt(2) =~14.14
-------------
c/sin(C) = a/sin(A)
c = 10*sin(105)/sin(30)
c = 20*sin(105) =~19.319


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