Question

Solve each triangle.

Short answer

The solution is$A=40°,a\approx 3.2,b\approx 3.5$.

Step-by-step solution

Step 1. Given information 

Step 2. Calculation 

We know,

$A+B+C=180°$

$A+45°+95°=180°$

$A=40°$

Now use Law of Sines -

$\frac{\sin A}{a}=\frac{\sin C}{c}$ and $\frac{\sin B}{b}=\frac{\sin C}{c}$

$\frac{\sin 40°}{a}=\frac{\sin 95°}{5}$ $\frac{\sin 45°}{b}=\frac{\sin 95°}{5}$

$\frac{5\sin 40°}{\sin 95°}=a$ $\frac{5\sin 45°}{\sin 95°}=b$

$3.2\approx a$ $3.5\approx b$