# Closed shape with different line colors

The following code defines a MWE:

\documentclass[dvipsnames]{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[dashed,Cerulean] (0,0)--(1,0)--(1,4);
\draw[thick,OrangeRed] (0,0) -- (1,4);
\draw[|-|] (1.3,4) -- (1.3,0) node[xshift=5ex,align=center,midway] {\scriptsize height (4)};
\draw[|-|]  (0,-0.25) -- (1,-0.25) node[below,midway] {\scriptsize base (1)} ;
\end{tikzpicture}
\end{document}


The issue I have is that the shape is not a closed one and the corners where the hypotenuse and the other two sides meet are obviously unpleasant. Is there a way to have a closed path with different decorations and colors as in my example? Of course, much consideration needs to be given to the smoothness of the vertices.

This is not the most beautiful solution, but perhaps it works for you. I'm using a clipping path.

\documentclass[dvipsnames]{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[|-|] (1.3,4) -- (1.3,0) node[xshift=5ex,align=center,midway] {\scriptsize height (4)};
\draw[|-|]  (0,-0.25) -- (1,-0.25) node[below,midway] {\scriptsize base (1)} ;
\path[clip] (0,0) -| (1,4) -- cycle;
\draw[very thick,dashed,Cerulean] (0,0) -- (1,0) (1,0) -- (1,4);%To see the vertice at (1,0)
\draw[very thick,OrangeRed] (0,0) -- (1,4);
\end{tikzpicture}
\end{document}