Given Triangle ABC with a = 51.2, b = 33.7, and measure of Angle A at 75, determine both possible values for the value of Angle B.

Isn't this a trick question? Isn't there only one answer? That one answer being approx 39?

Question

Given Triangle ABC with a = 51.2, b = 33.7, and measure of Angle A at 75, determine both possible values for the value of Angle B. 


Isn't this a trick question? Isn't there only one answer? That one answer being approx 39?

directrix · Answer

>>Isn't this a trick question?   No.

directrix · Answer

You are given two sides and the non-included angle. 

In solving triangles, this is termed the ambiguous case because zero, one, or two triangles can be formed when given two sides and the non-included angle.  

No unique triangle is promised.

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