SOLUTION: find the area of triangle c= 5cm A= 52 degrees C= 48 degrees what should be the answer in B=? and a=?

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Question 587666: find the area of triangle
c= 5cm
A= 52 degrees
C= 48 degrees
what should be the answer in B=? and a=?
Answer by Alan3354(69443) About Me  (Show Source):
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find the area of triangle
c= 5cm
A= 52 degrees
C= 48 degrees
what should be the answer in B=? and a=?
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Angle B = 180 -(A + C) = 80 degrees
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Find side a or c using the Law of Sines
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c/sin(C) = a/sin(A)
5/sin(48) = a/sin(52)
a =~ 5.302
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Area = Base*height/2 = a*c*sin(80)/2
Area =~ 13.053 sq cm