Question

How many triangles are there that satisfy the conditions a = 3, b = 4, (alpha sign)= 76 degrees.

Answer 1

By Sine Rule 

a/sinA = b/sinB = c/sinC 

Given a = 3, b = 4, A = 76° 

43sin76° = 4/sinB 

==> sinB = 1.195380945 

But sine function is only defined in the range [-1, 1], so there's no solution.


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