MathNet 2004 — Part 02 Question 117

In the triangle is $\beta=74^{\circ} 18^{\prime}$ and $\gamma=38^{\circ} 46^{\prime}$ and $|AC|-|AB|=2,5~\mathrm{cm}$. Calculate the lengths of the sides $|AB|$ and $|AC|$ and round the result to two places. Draw a sketch.