Update app.py

app.py

@@ -121,6 +121,14 @@ def plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, Ux, Uy, G_x, G_y, midpoints)
     # Plot midpoints of sides
     for i, (mx, my) in enumerate(midpoints):
         ax.scatter(mx, my, color=midpoint_color, zorder=5)
+
+    # Draw the inscribed circle (incircle)
+    incircle = Circle((I_x, I_y), radius_in, color=incenter_color, fill=False, linestyle='--', linewidth=2, label="Inscribed Circle")
+    ax.add_patch(incircle)
+    
+    # Draw the circumscribed circle (circumcircle)
+    circumcircle = Circle((Ux, Uy), radius_circum, color=circumcenter_color, fill=False, linestyle='--', linewidth=2, label="Circumscribed Circle")
+    ax.add_patch(circumcircle)
     
     # Add legend
     handles = [