\documentclass[english]{article}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{geometry}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}
\geometry{verbose}
\usepackage{amsmath, amssymb}
\usepackage{graphicx}
\usepackage{tikz}
\usepackage[colorinlistoftodos]{todonotes}
\usepackage[colorlinks=true, allcolors=blue]{hyperref}
\begin{document}
\begin{center}
\begin{tikzpicture}[scale=0.9]
\draw[thick] (0,0) -- (0,3) -- (4,0)-- (0,0);
\filldraw[thick, fill=white] (0,3) arc (90:270: 1.5);
\filldraw[thick, fill=white] (0,0) arc (180:360: 2);
\filldraw[black] (0,0) node[below left] {$B$};
\filldraw[black] (0,3) node[above left] {$A$};
\filldraw[black] (4,0) node[anchor=west] {$C$};
\end{tikzpicture}
\end{center}
\end{document}
I have this so far to make the triangle and label the points but how do you draw the semicircles??