Update app.py

app.py

@@ -104,7 +104,7 @@ def plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, Ux, Uy, G_x, G_y, midpoints)
     
     # Plot the triangle vertices
     vertices = [(x1, y1), (x2, y2), (x3, y3)]
-    vertex_labels = [f"Vertex A ({x1:.1f}, {y1:.1f})", f"Vertex B ({x2:.1f}, {y2:.1f})", f"Vertex C ({x3:.1f}, {y3:.1f})"]
+    vertex_labels = [f"Vertex A ({x1:.3f}, {y1:.3f})", f"Vertex B ({x2:.3f}, {y2:.3f})", f"Vertex C ({x3:.3f}, {y3:.3f})"]
     for i, (vx, vy) in enumerate(vertices):
         ax.scatter(vx, vy, color=vertex_color, zorder=5)
         
@@ -114,6 +114,7 @@ def plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, Ux, Uy, G_x, G_y, midpoints)
         (Ux, Uy, circumcenter_color),
         (G_x, G_y, centroid_color)
     ]
+    key_points_labels = [f"Centroid ({G_x:.3f}, {G_y:.3f})", f"Incenter ({I_x:.3f}, {I_y:.3f})", f"Circumcenter ({Ux:.3f}, {Uy:.3f})"]
     
     for x, y, color in key_points:
         ax.scatter(x, y, color=color, zorder=5)
@@ -124,11 +125,15 @@ def plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, Ux, Uy, G_x, G_y, midpoints)
     
     # Add legend
     handles = [
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=10, label=vertex_labels),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=centroid_color, markersize=10, label="Centroid"),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=incenter_color, markersize=10, label="Incenter"),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=circumcenter_color, markersize=10, label="Circumcenter"),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=midpoint_color, markersize=10, label="Midpoints")
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=10, label=vertex_labels[0]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=10, label=vertex_labels[1]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=10, label=vertex_labels[2]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=10, midpoints[0]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=10, midpoints[1]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=10, midpoints[2]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=centroid_color, markersize=10, label=key_points_labels[0]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=incenter_color, markersize=10, label=key_points_labels[1]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=circumcenter_color, markersize=10, label=key_points_labels[2])
     ]
     ax.legend(handles=handles, loc='upper left', fontsize=12)
     
@@ -209,10 +214,11 @@ def main():
             st.markdown(f"Vertex C: **({x3:.3f}, {y3:.3f})**")
         
         with col2:
-            st.subheader("Sides of Triangle:")
-            st.markdown(f"Side a: **{a:.3f}** units")
-            st.markdown(f"Side b: **{b:.3f}** units")
-            st.markdown(f"Side c: **{c:.3f}** units")
+            st.subheader("Mid-Points of Triangle:")
+            st.markdown(f"Midpoint of AB: ({midpoints[0][0]:.3f}, {midpoints[0][1]:.3f})")
+            st.markdown(f"Midpoint of BC: ({midpoints[1][0]:.3f}, {midpoints[1][1]:.3f})")
+            st.markdown(f"Midpoint of CA: ({midpoints[2][0]:.3f}, {midpoints[2][1]:.3f})")
+
         
         col1, col2 = st.columns(2)
            
@@ -223,10 +229,11 @@ def main():
             st.markdown(f"Angle C: **{C:.3f}°**")
 
         with col2:
-            st.subheader("Mid-Points of Triangle:")
-            st.markdown(f"Midpoint of AB: ({midpoints[0][0]:.3f}, {midpoints[0][1]:.3f})")
-            st.markdown(f"Midpoint of BC: ({midpoints[1][0]:.3f}, {midpoints[1][1]:.3f})")
-            st.markdown(f"Midpoint of CA: ({midpoints[2][0]:.3f}, {midpoints[2][1]:.3f})")
+            st.subheader("Sides of Triangle:")
+            st.markdown(f"Side a: **{a:.3f}** units")
+            st.markdown(f"Side b: **{b:.3f}** units")
+            st.markdown(f"Side c: **{c:.3f}** units")
+
         
         col1, col2, col3 = st.columns(3)