Question

State whether the given measurements determine zero, one, or two triangles.
A= 35º, a = 6, b = 13
a)TWO
b)One
c)Zero

Answer 1

Answer:

If we were to use the sine law we would get 

sin(B) / b = sin(A) / a ----> sin(B) = b*sin(A)/a = 13*sin(35)/6 = 1.24275 to 5 d.p.., 

so since this is greater than 1 there can be 0 triangles with these dimensions, 

as the range of the sine function is [-1,1].