State the number of possible triangles that can be formed using the given measurements, then sketch and solve the triangles, if possible. m ∠ A = 48 ∘ , c = 29 , a = 4

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State the number of possible triangles that can be formed using the given measurements, then sketch and solve the triangles, if possible.  m  ∠  A  =      48          ∘        ,  c  =  29  ,  a  =  4

seraphinod · Accepted Answer

Given  m  ∠  A  =      48          ∘        ,  c  =  29  ,  a  =  4            sin      ⁡      A        a    =            sin      ⁡      B        b    =            sin      ⁡      C        c                sin      ⁡              48                  ∘                      4    =            sin      ⁡      B        b    =            sin      ⁡      C        29                sin      ⁡              48                  ∘                      4    =            sin      ⁡      C        29    ⇒  sin  ⁡  C  =            29      sin      ⁡              48                  ∘                      4      sin  ⁡  C  =  5  ⋅  307    ⇒  C  =      sin          −      1        ⁡  (  5  ⋅  307  )  There is no posible triangle with there measurement since       sin          −      1        ⁡  (  5  ⋅  307  ) is not difined

State the number of possible triangles that can be formed using the given measurements, then sketch

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