Answer
$$a=290.4cm$$
$$c=316.3cm$$
Work Step by Step
To find side a, we can use the trigonometric ratio for tangent
$tanB=\frac{b}{a}$
Where
$B=23.34°$
$b=125.3cm$
Solving for a we get:
$a=\frac{b}{tanB}$
$a=\frac{125.3cm}{tan(23.34°)}$
$a=\frac{125.3cm}{0.4315}$
$a=290.4cm$
To find side c (the hypotenuse), we can use the trigonometric ratio for sine.
$sinB=\frac{b}{c}$
Where
$B=23.34°$
$b=125.3cm$
Solving for c we get:
$c=\frac{b}{sinB}$
$c=\frac{125.3cm}{sin(23.34°)}$
$c=\frac{125.3cm}{0.3962}$
$c=316.3cm$
