- #1

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## Homework Statement

Given is a triangle with sides a=3.1cm, b=5cm, c=4.7cm and opposite angle to side a, α=36°. I must find out for angles β and γ using the law of sines.

## Homework Equations

Law of sines.

## The Attempt at a Solution

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I first tried:

sin(γ)}/c=sin(α)/a ⇒ γ≈63.02°

β=180-α-γ=80.98°

However, one could also calculate:

sin(β)}/b=sin(α)/a ⇒ β≈71.45°

γ=180°-α-β=72.55°

Two approaches, that I believed to be equivalent, but which furnish different results. So, I obviously make something wrong. But ... I don't get it... what is it?