Answer
b=48
Work Step by Step
Use the Pythagorean Theorem to find the missing length.
$a^2+b^2=c^2\longrightarrow$ substitute the given values
$14^2+b^2=50^2\longrightarrow$ simplify exponents
$196+b^2=2500\longrightarrow$ subtract 196 from each side
$196+b^2-196=2500-196\longrightarrow$ subtract
$b^2=2304\longrightarrow$ find the square root of each side
$\sqrt{b^2}=\sqrt{2304}\longrightarrow$ simplify
$b=48$
