Using the Law of Sines, we get an angle of 2.41 degrees and no triangles are produced.
Option (C) is the correct one.
Given, Two sides and an angle are given below.
we have to determine whether the given information results in one triangle, two triangles, or no triangle at all.
If b = 5, c = 6 and B = 20 degrees in the triangle.
On using the concept of Laws of Sines, we get
sinA/a = sinB/b = sinC/c
sin 20°/5 = sin C/6
0.34/5 = sin C/6
0.007 = sin C/6
sin C = 0.042
C = 2.41
So, the angle C be 2.41 degrees.
which implies that no triangle can be formed or produced with the given data of the triangle.
Hence, No triangles are produced.
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