Distance Between a Point and a Line

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\documentclass[5pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{calc}
\usepackage{physics}
\begin{document}
    
    \begin{tikzpicture}[line cap = round]
%       % Grid
%       \draw (0,0) grid (5,5);
%       \foreach \i in {0,1,...,5}
%       {
%           \node at (-1ex, \i) {\i};
%           \node at (\i, -1ex) {\i};
%       }
        
        % Coordinates
        \coordinate (A) at (1,0);
        \coordinate (B) at (0,5);
        \coordinate (P1) at ($(A)!0.05!(B)$);
        \coordinate (P2) at ($(A)!0.95!(B)$);
        \coordinate (P3) at ($(A)!0.2!(B)$);
        \coordinate (P3') at ($(P3)!0.5!(P1)$);
        \coordinate (P4) at ($(A)!0.72!(B)$);
        \coordinate (P) at (2,4);
        \coordinate (DV-P4) at ($(P)!0.5!(P4)$);
        
        % Lines
        \draw[thick] (A) -- (B);
        \draw[] (P) -- (P4);
        \draw[very thick, -stealth] (P1) -- (P3);
        
        % Points
        \draw[fill=black, draw=black] (P1) circle (1.2pt);
        \draw[fill=black, draw=black] (P2) circle (1.2pt);
        \draw[fill=black, draw=black] (P) circle (1.2pt);
        
        % Nodes
        \node[shift={(0.1,-0.3)}] at (P) {$\mathrm{P}$};
 
 
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