Answer:
[TeX]a=\frac{12}{1+\sqrt{3}}[/Tex]
Step-by-step explanation:
c=6
Angle A= π/4
Angle B= π/3
Angle C = π - (π/4+π/3)= 5π/12
We want to determine side A.
Using Sine Rule
[TeX]\frac{a}{Sin A}=\frac{c}{Sin C}[/Tex]
[TeX]\frac{a}{Sin \frac{\pi}{4}}=\frac{6}{Sin \frac{5\pi}{12} }[/Tex]
[TeX]a=\frac{6}{Sin \frac{5\pi}{12} } X Sin \frac{\pi}{4}[/Tex]
[TeX]a=\frac{12}{1+\sqrt{3}}[/Tex]
a=4.39
