Scalene triangle

Solve the triangle:

A = 50°, b = 13, c = 6

Correct answer:

a =  10.23

Step-by-step explanation:

$$\begin{gathered} A=50\text{ ° } \\ b=13 \\ c=6 \\ {a}^2=b^2+c^2-2\cdot b\cdot c\cdot \cos \mathrm{A} \\ a=\sqrt{b^2+c^2-2\cdot b\cdot c\cdot \cos A\mathrm{°}}=\sqrt{b^2+c^2-2\cdot b\cdot c\cdot \cos 50\mathrm{°}}=\sqrt{13^2+6^2-2\cdot 13\cdot 6\cdot \cos 50\mathrm{°}}=\sqrt{13^2+6^2-2\cdot 13\cdot 6\cdot 0.642788}=10.23=10.23 \end{gathered}$$

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