\documentclass[12pt,pstricks]{standalone}
\usepackage{pst-eucl}
\begin{document}
\begin{pspicture}[showgrid](-4,-2)(4,6)
\pstGeonode[PosAngle={180,0,-90,90}](-3,0){A}(3,0){C}(-1,-1){B}(0,5){S}
\pstTranslation[PosAngle=45]{B}{A}{C}[D]
\pstCircleABC[linestyle=none]{S}{A}{C}{I}
\pstInterLL[PosAngle=-60]{A}{C}{B}{D}{H}
\psline(S)(A)(B)(S)(C)(B)
\bgroup
\psset{PointName=none,PointSymbol=none}
\pstGeonode([nodesep=10pt]{I}H){t}([nodesep=10pt]{B}H){l}([nodesep=-10pt]{B}H){r}
\pstTranslation{H}{l}{t}[a1]
\pstTranslation{H}{r}{t}[a2]
\psline(l)(a1)(t)(a2)(r)
\egroup
\psset{linestyle=dashed}
\psline(B)(D)(A)(C)(D)(S)
\ncline{H}{I} \naput{$x$}
\ncline{A}{I} \naput{$R$}
\psset{SegmentSymbol=pstslash}
\pstSegmentMark{S}{I}
\pstSegmentMark{A}{I}
\end{pspicture}
\end{document}
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