Does this result in no triangle, 1 or 2 triangles? If so, then solve.

Question

B= 88 degrees, b= 4 and a=23.

I know that A= (sin 88)(23)/(4)= A=5.74 degrees

C= 180-5.74-88= C=86.26 degrees
c=(sin86.26)(4)/(sin 88)= c=3.99

My question is how do you know if it's 0,1, or 2 triangles. And if so, what do you do next?

Answer 1

Remember, it's

sinA/a = sinB/b

What you have is sinA = 5.74, not A=5.74

There is no angle with sine of 5.74.

Clearly there will be no triangle here. Sin 88 is almost 1, so 23/4 that will be much more than 1.

Answer 2

Thank you Steve.