Solve triangle ABC. a = 52 , b = 63 , ∠ A = 58 ∘ ∠ B = ? ∠ C = ? c = ?

Question

Solve triangle ABC.  a  =  52  ,  b  =  63  ,  ∠  A  =      58          ∘        ∠  B  =  ?    ∠  C  =  ?    c  =  ?

Rihanna Robles · Accepted Answer

Step 1      a          sin      ⁡      A        =      b          sin      ⁡      B        =      c          sin      ⁡      c      considering given values i will take      a          sin      ⁡      A        =      b          sin      ⁡      B            52          sin      ⁡              58                  ∘                      =      63          sin      ⁡      B        sin  ⁡  B  =      63    52    sin  ⁡      58          ∘        sin  ⁡  B  =  1.02744288  sin  ⁡  B  =  1  B  =      sin          −      1        ⁡  (  1  )  =      90          ∘        A  +  B  +  C  =      180          ∘              58          ∘        +      90          ∘        +  c  =      180          ∘          c  =  180  −  148    c  =      32          ∘      Step 2      b          sin      ⁡      B        =      c          sin      ⁡      c              63          sin      ⁡              90                  ∘                      =      c          sin      ⁡              32                  ∘                        c  =      63    1    ⋅  sin  ⁡      32          ∘          c  =  33.4  ∠  B  =      90          ∘          ∠  c  =      32          ∘          c  =  33.4

Solve triangle ABC. a=52, b=63, angle A=58^circ. \angle B=?, angle C=?, c=?.

Answered question

Answer & Explanation

New Questions in Pre-Algebra