Question

How do you solve the triangle given A=124, a=1, b=2?

Answer 1

No solution!

Explanation:

Assuming you need to use the Law of Sines to determine the answer, you are being asked to find the angle `B`, its opposite side `b`, the angle `C` and its opposite side `c`. The picture and formula for the Law of Sines is

Plugging in the givens, we have

`1/sin(124)=2/sin(B)`

Cross multiplying gets rid of the fractions.

`sin(B)=2xxsin(124)`

Using radians, we get

`sin(B)~~-1.99`

And using degrees, we get

`sin(B)~~1.66`

Unfortunately, neither of these answers is intelligible or coherent, because by definition, the `sin(B)` must be between `-1` and `1`, that is:

`-1<=sin(B)<=1`