Find the number of distinct triangles with the measurements a=1 b=2 and A=31 degrees
\(The \ height \ of \ a \ triangle \ ABC \)\(\)
\( with \ a=1,\ b = 2 \ and\ \alpha = 31° is \ h = 1.03.\)
\(\)
\(h=b\times\ sin31°=2\times sin31°=1.03008\)
The side a must be ≥ h.
1 < 1.3008 There is no triangle with the given sizes. 
If a = 1.0300714982 then 1 triangle. If a > h then ∞ \(\color{blue}\times\) triangles. 
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