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The formula calculates the length of side A of a triangle when two sides (B and C) and two angles (A and B) are known. It uses trigonometric relationships to determine the missing side length.
The calculator uses the formula:
Where:
Explanation: The formula uses cosine functions to relate the known sides and angles to find the unknown side length.
Details: Calculating unknown sides of triangles is fundamental in geometry, engineering, architecture, and various scientific applications where precise measurements are required.
Tips: Enter all values in their respective units (meters for sides, radians for angles). All values must be positive numbers.
Q1: Why use radians instead of degrees for angles?
A: Trigonometric functions in mathematical calculations typically use radians. If you have angles in degrees, convert them to radians first (radians = degrees × π/180).
Q2: What if the calculated side length is negative?
A: A negative result indicates that the given measurements cannot form a valid triangle. Please verify your input values.
Q3: Can this formula be used for any type of triangle?
A: This specific formula is derived for triangles where two sides and their opposite angles are known, and works for various triangle types.
Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. The accuracy depends on the precision of your measurements.
Q5: What are the limitations of this formula?
A: The formula requires knowing two sides and two angles. It may not work if the angles are extremely close to 90 degrees where cosine values approach zero.