Update app.py

app.py

@@ -99,51 +99,78 @@ def main():
     st.title("Advanced Triangle Solver")
 
     st.sidebar.header("Enter the coordinates of the three points:")
-    x1 = st.sidebar.number_input("X1", -100.0, 100.0, step=0.1, format="%.3f")
-    y1 = st.sidebar.number_input("Y1", -100.0, 100.0, step=0.1, format="%.3f")
-    x2 = st.sidebar.number_input("X2", -100.0, 100.0, step=0.1, format="%.3f")
-    y2 = st.sidebar.number_input("Y2", -100.0, 100.0, step=0.1, format="%.3f")
-    x3 = st.sidebar.number_input("X3", -100.0, 100.0, step=0.1, format="%.3f")
-    y3 = st.sidebar.number_input("Y3", -100.0, 100.0, step=0.1, format="%.3f")
+
+    # Coordinates input (X1, Y1), (X2, Y2), (X3, Y3)
+    x1 = st.sidebar.number_input("X1", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
+    y1 = st.sidebar.number_input("Y1", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
+    x2 = st.sidebar.number_input("X2", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
+    y2 = st.sidebar.number_input("Y2", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
+    x3 = st.sidebar.number_input("X3", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
+    y3 = st.sidebar.number_input("Y3", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
 
     if st.sidebar.button("Calculate"):
+        # Calculate the lengths of the sides of the triangle using Euclidean distance
         a = calculate_distance(x2, y2, x3, y3)
         b = calculate_distance(x1, y1, x3, y3)
         c = calculate_distance(x1, y1, x2, y2)
 
+        # Calculate angles using the Law of Cosines
         A = calculate_angle(a, b, c)
         B = calculate_angle(b, a, c)
         C = calculate_angle(c, a, b)
 
+        # Calculate area, perimeter, and radius of inscribed and circumscribed circles
         area = calculate_area(a, b, c)
         perimeter = calculate_perimeter(a, b, c)
         radius_in = calculate_radius_inscribed_circle(a, b, c)
         radius_circum = calculate_radius_circumscribed_circle(a, b, c)
 
+        # Calculate centroid, incenter, and circumcenter coordinates
         G_x, G_y = calculate_centroid(x1, y1, x2, y2, x3, y3)
         I_x, I_y = calculate_incenter(x1, y1, x2, y2, x3, y3, a, b, c)
         Ux, Uy = calculate_circumcenter(x1, y1, x2, y2, x3, y3, a, b, c)
 
+        # Display results in columns
+        col1, col2, col3 = st.columns(3)
+        
+        with col1:
+            st.subheader("Coordinates of Triangle:")
+            st.markdown(f"Vertex A: **({x1:.3f}, {y1:.3f})**")
+            st.markdown(f"Vertex B: **({x2:.3f}, {y2:.3f})**")
+            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")
+        
+        with col3:
+            st.subheader("Angles of Triangle:")
+            st.markdown(f"Angle A: **{A:.3f}°**")
+            st.markdown(f"Angle B: **{B:.3f}°**")
+            st.markdown(f"Angle C: **{C:.3f}°**")
+
         col1, col2, col3 = st.columns(3)
 
         with col1:
-            st.subheader("Incenter of Triangle (Inscribed Circle):")
+            st.subheader("Incenter of Triangle:")
             st.markdown(f"Coordinates: **({format_zero(I_x):.3f}, {format_zero(I_y):.3f})**")
             st.markdown(f"Radius: **{radius_in:.3f}** units")
-
+        
         with col2:
-            st.subheader("Circumcenter of Triangle (Circumscribed Circle):")
+            st.subheader("Circumcenter of Triangle:")
             st.markdown(f"Coordinates: **({format_zero(Ux):.3f}, {format_zero(Uy):.3f})**")
             st.markdown(f"Radius: **{radius_circum:.3f}** units")
-
+        
         with col3:
             st.subheader("Other Properties:")
             st.markdown(f"Area: **{area:.3f}** square units")
             st.markdown(f"Perimeter: **{perimeter:.3f}** units")
             st.markdown(f"Centroid Coordinates: **({G_x:.3f}, {G_y:.3f})**")
 
+        # Display triangle graph with incenter, circumcenter, and centroid
         plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, Ux, Uy, G_x, G_y)
 
-# Run the app
 if __name__ == "__main__":
     main()