Here is python code for a program I am working on:
import matplotlib.pyplot as plt
import numpy as np
def draw_right_triangle_with_angles_and_side(angle_A, angle_B, angle_C, side_AC):
# Check if the angles form a valid right-angled triangle
if angle_A + angle_B + angle_C != 180 or angle_B != 90 or not (angle_A > 0 and angle_C > 0):
print("Invalid input: The angles provided do not form a valid right-angled triangle.")
return
# Calculate the length of side BC using the Pythagorean theorem
side_BC = np.sqrt(side_AC**2 - side_AC**2 / np.tan(np.radians(angle_A))**2)
# Define the vertices of the triangle ABC
vertices = np.array([[0, 0], [side_BC, 0], [0, side_AC]])
# Plot the triangle ABC
plt.figure(figsize=(6, 6))
plt.plot(vertices[:, 0], vertices[:, 1], label='Triangle ABC', marker='o')
# Label the vertices
plt.text(vertices[0, 0], vertices[0, 1], 'A', ha='right')
plt.text(vertices[1, 0], vertices[1, 1], 'B', ha='left')
plt.text(vertices[2, 0], vertices[2, 1], 'C', ha='right')
# Set axis limits and labels
plt.xlim(-1, max(side_BC, side_AC) + 1)
plt.ylim(-1, max(side_BC, side_AC) + 1)
plt.xlabel('X-axis')
plt.ylabel('Y-axis')
# Add legend
plt.legend()
# Show the plot
plt.grid(True)
plt.title('Right-Angled Triangle ABC')
plt.show()
# Example usage
angle_A = 45 # Angle A in degrees
angle_B = 90 # Angle B (right angle) in degrees
angle_C = 45 # Angle C in degrees
side_AC = 14 # Length of side AC
draw_right_triangle_with_angles_and_side(angle_A, angle_B, angle_C, side_AC)
