Question

$\text{If in any}\Delta ABC,\angle C={105}^{\circ },\angle B={45}^{\circ },a=2,\text{then find b.}$

Answer 1

$\angle C={105}^{\circ },\angle B={45}^{\circ },a=2\text{From here we can calculate that}\angle A={30}^{\circ }\text{a sin B = b sin A}\Rightarrow \text{2 sin 45 = b sin 30}\Rightarrow 2\times \frac{1}{\sqrt{2}}=b\times \frac{1}{2}\Rightarrow \sqrt{2}=\frac{b}{2}\Rightarrow b=2\sqrt{2}$