Question 939107: Determine whether it is possible to draw a triangle
given each set of information. Sketch all possible
triangles where appropriate. Calculate, then label, all
side lengths to the nearest tenth of a centimetre and
all angles to the nearest degree.
a)b=3.0cm, c=5.5cm, Angle B=30°
b) b=12.2cm, c=8.2cm, AngleC=34°
c) a=11.1cm, c=5.2cm, AngleC=33°
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Determine whether it is possible to draw a triangle
given each set of information. Sketch all possible
triangles where appropriate. Calculate, then label, all
side lengths to the nearest tenth of a centimetre and
all angles to the nearest degree.
a)b=3.0cm, c=5.5cm, Angle B=30°
Use the Law of Sines
Sin(C)/5.5 = sin(30)/3
sin(C) = 5.5[(1/2/3) = 5.5(1/6) = 0.91667
C = arcsin(0.91667) = 66.44 degrees or 180-66.44 = 113.56
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If C = 66.44, A = 180-(30+66.44) = 93.56
Then a = sin(A)[b/sin(30)] = 1.50
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If C = 113.56, A = 180-(30+113.56) = 36.44
Then a = sin(A)[b/sin(30)] = 3.56
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b) b=12.2cm, c=8.2cm, AngleC=34°
Use the Law of Sines
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c) a=11.1cm, c=5.2cm, AngleC=33°
Use the Law of Sines
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Cheers,
Stan H.
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