Answer
$$a=213.8cm$$
$$c=226.04cm$$
Work Step by Step
To find side a, we can use the trigonometric ratio for tangent
$tanB=\frac{b}{a}$
Where
$B=19.0°$
$b=73.6cm$
Solving for b we get:
$a=\frac{b}{tanB}$
$a=\frac{73.6cm}{tan(19°)}$
$a=\frac{73.6cm}{0.3443}$
$a=213.8cm$
To find side c (the hypotenuse), we can use the trigonometric ratio for sine.
$sinB=\frac{b}{c}$
Where
$B=19°$
$b=73.6cm$
Solving for c we get:
$c=\frac{b}{sinB}$
$c=\frac{73.6cm}{sin(19°)}$
$c=\frac{73.6cm}{0.3256}$
$c=226.04cm$
