The given code calculates the angles of a triangle using...

August 30, 2025 at 03:04 AM

% Prompt the user for the lengths of the three sides a = input('Side a: '); b = input('Side b: '); c = input('Side c: '); % Calculate the angles using the Law of Cosines % Angle A (opposite side a) angleA_rad = acos((b^2 + c^2 - a^2) / (2 * b * c)); angleA_deg = round(rad2deg(angleA_rad)); % Angle B (opposite side b) angleB_rad = acos((a^2 + c^2 - b^2) / (2 * a * c)); angleB_deg = round(rad2deg(angleB_rad)); % Angle C (opposite side c) angleC_rad = acos((a^2 + b^2 - c^2) / (2 * a * b)); angleC_deg = round(rad2deg(angleC_rad)); % Display the results in the specified format fprintf('Angle A is %d degrees, angle B is %d degrees and angle C is %d degrees!\n', angleA_deg, angleB_deg, angleC_deg);

The given code calculates the angles of a triangle using the Law of Cosines and then displays the results in degrees.

Here's what the code does, step by step:

  1. Prompt the user for inputs:

    • The code prompts the user to input the lengths of the three sides of a triangle: a, b, and c. These are stored as a, b, and c.
  2. Calculate the angles using the Law of Cosines:

    • ( \text{Law of Cosines:} \quad \cos(A) = \frac{b^2 + c^2 - a^2}{2bc} )
    • For each side of the triangle, the corresponding opposite angle is computed:
      • Angle A (opposite side a): Calculated in radians using the acos function and then converted to degrees using rad2deg.
      • Angle B (opposite side b): Similar computation for angle B.
      • Angle C (opposite side c): Similar computation for angle C.
    • The round function is used to round the angles to the nearest integer value.
  3. Display the results:

    • The computed angles (angleA_deg, angleB_deg, angleC_deg) are formatted and displayed in the message:
      Angle A is X degrees, angle B is Y degrees and angle C is Z degrees!
      
    • Here, X, Y, and Z represent the calculated angles in degrees.

Summary:

This code computes the interior angles of a triangle from the lengths of its sides using the Law of Cosines, converts the angles from radians to degrees, rounds them to the nearest integer, and prints the result.

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