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Consider a triangle where A=30 degrees, a=1.5cm and b=2cm

How many possible triangles have the above properties? Write either 0 or 1 or 2.

I don't understand this question at all. ...?

Verified Answer :

The continuation of the question would be:


Use the Law of Sines to find sin(B). 


The solution to the problem is as follows:


sin(A)/a = sin(B)/b 
sin(30)/1.5 = sin(B)/2.6 
(sin(30)*2)/1.5 = sin (B) 
sin (B) = 0.8666667 
B = sin^-1(0.8666666667) 
B = 60.1 degrees 
B = 60 degrees (2 s.f.)


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