Answer
See below
Work Step by Step
Given: $A=50$ degrees
$a=14$
Thus, $C=90$
It is a right triangle. Hence, the sum of two non-right angles of a triangle is 90 degrees:
$B=90-A=90-50=40$ degrees
We know $\tan B=\frac{b}{a}\\
\rightarrow b=a\tan B=14\times \tan 40\approx11.75$
Apply the Pythagorean theorem to find c:
$a^2+b^2=c^2\\c=\sqrt a^2+b^2\\c=\sqrt 14^2+(14\tan40)^2\approx18.28$