SOLUTION: Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results. a = 6,

Algebra ->  Triangles -> SOLUTION: Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results. a = 6,      Log On


   



Question 1113417: Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results.
a = 6, b = 3, β = 10°

Answer by Alan3354(69443) About Me  (Show Source):
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Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results.
a = 6, b = 3, B = 10°
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Use the Law of Sines.
a/sin(A) = b/sin(B)
6/sin(A) = 3/sin(10)
sin(A) = 2*sin(10)
sin(A) =~ 0.3473
A =~ 20.322º
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Angle C = 180 - (A+B) = 149.678º
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c/sin(C) = 3/sin(10)
c = 8.722