Third Side Formula (SAS):
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Definition: This calculator determines the third side of a scalene triangle when you know two sides and the included angle (SAS).
Purpose: It helps in solving triangular measurements for construction, engineering, and geometry problems.
The calculator uses the Law of Cosines formula:
Where:
Explanation: The formula calculates the missing side by accounting for both the side lengths and the angle between them.
Details: SAS calculations are fundamental in trigonometry and essential for accurate measurements in construction, navigation, and design.
Tips: Enter the two known side lengths in meters and the included angle in degrees (must be between 0° and 180°).
Q1: What is a scalene triangle?
A: A triangle with all sides of different lengths and all angles of different measures.
Q2: Why does the angle need to be between sides a and b?
A: The Law of Cosines specifically requires the angle between the two known sides for accurate calculation.
Q3: What if my angle is exactly 90 degrees?
A: The formula reduces to the Pythagorean theorem (c² = a² + b²) when C = 90°.
Q4: Can I use this for non-scalene triangles?
A: Yes, the formula works for any triangle when you have SAS information.
Q5: How accurate is the calculation?
A: The calculation is mathematically precise when inputs are accurate. Results are shown to 3 decimal places.