Forma Visuals · Draw a geometry figure · Examples

Incircle construction

The point where the angle bisectors meet and the circle that touches all three sides, for a worksheet or an exam.

For educators · TikZ

01 The figure

Drawn from the code that came back.

Incircle construction, drawn from the request below

valid · vector-graphics@0bd7c5a4 · 1 credit · 2026-10-07

The check covers the properties the figure states, in the figure you receive. Measurements are not compared with the drawing: read the source.

02 The request

In plain words.

Triangle ABC. Mark the incenter I, where the angle bisectors meet, draw the segments AI, BI and CI, and draw the circle centred at I that touches all three sides. Check that the circle is tangent to AB, BC and CA.

03 What came back

A tikzpicture.

TikZ
\begin{tikzpicture}[x=1pt,y=1pt]
  \path[use as bounding box] (0,0) rectangle (297.41,213.16);
  \draw[draw=black!45,line width=0.4pt,dashed] (18.33,19.33) -- (278.33,19.33);
  \draw[draw=black!45,line width=0.4pt,dashed] (278.33,19.33) -- (105,192.66);
  \draw[draw=black!45,line width=0.4pt,dashed] (105,192.66) -- (18.33,19.33);
  \draw[draw=black,line width=0.6pt] (18.33,19.33) -- (122.66,83.81);
  \draw[draw=black,line width=0.6pt] (278.33,19.33) -- (122.66,83.81);
  \draw[draw=black,line width=0.6pt] (105,192.66) -- (122.66,83.81);
  \draw[draw=red!75!black,line width=1.1pt,fill=none] (122.66,83.81) circle[radius=64.48pt];
  \filldraw[draw=none,line width=0.4pt,fill=black] (18.33,19.33) circle[radius=1.3pt];
  \filldraw[draw=none,line width=0.4pt,fill=black] (278.33,19.33) circle[radius=1.3pt];
  \filldraw[draw=none,line width=0.4pt,fill=black] (105,192.66) circle[radius=1.3pt];
  \filldraw[draw=none,line width=0.4pt,fill=black] (122.66,83.81) circle[radius=1.3pt];
  \node[text=black,anchor=center,font=\fontsize{10pt}{12pt}\selectfont] at (11.75,12.25) {$A$};
  \node[text=black,anchor=center,font=\fontsize{10pt}{12pt}\selectfont] at (285.87,19.33) {$B$};
  \node[text=black,anchor=center,font=\fontsize{10pt}{12pt}\selectfont] at (105,200.91) {$C$};
  \node[text=black,anchor=center,font=\fontsize{10pt}{12pt}\selectfont] at (122.66,75.56) {$I$};
  \node[text=black,anchor=center,font=\fontsize{10pt}{12pt}\selectfont] at (186.65,136.48) {incircle};
\end{tikzpicture}

04 When to use it

Where this figure helps.

  • Teaching the incentre and the inscribed circle.
  • State what must hold, as the request does; only properties the figure states are checked.
  • Measurements you write are not compared with the drawing; describe the construction instead.