Answer
$$a=29.3cm$$
$$b=39.4cm$$
Work Step by Step
To find side a, we can use the trigonometric ratio for sine.
$sinA=\frac{a}{c}$
Where
$A=36.7°$
$c=49.1cm$
Solving for a we get:
$a=c*sinA$
$a=49.1cm*sin(36.7°)$
$a=49.1cm*0.5976$
$a=29.3cm$
To find side b, we can use the trigonometric ratio for cosine.
$cosA=\frac{b}{c}$
Where
$A=36.7°$
$c=49.1cm$
Solving for b we get:
$b=c*cosA$
$b=49.1cm*cos(36.7°)$
$b=49.1cm*0.8018$
$b=39.4cm$
