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The formula calculates the length of side C in a triangle when you know side A and two angles. This is based on the Law of Sines, which states that the ratio of the length of a side to the sine of its opposite angle is constant for all three sides of a triangle.
The calculator uses the formula:
Where:
Explanation: The formula uses the sine trigonometric function to calculate the unknown side length based on the known side and the angles opposite to both sides.
Details: Calculating unknown sides of triangles is fundamental in geometry, trigonometry, and various practical applications such as surveying, navigation, engineering, and physics.
Tips: Enter side A in meters, angles in degrees. All values must be positive numbers. The sum of the three angles in a triangle should be 180 degrees.
Q1: What is the Law of Sines?
A: The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant for all three sides.
Q2: When can this formula be used?
A: This formula can be used when you know one side length and two angles of a triangle, and you need to find another side length.
Q3: What are the limitations of this formula?
A: The formula requires that you know at least one side length and its opposite angle, plus another angle. It works for all types of triangles (acute, obtuse, right).
Q4: How accurate is this calculation?
A: The calculation is mathematically exact when the input values are precise. Rounding errors may occur in practical applications.
Q5: Can this be used for right triangles?
A: Yes, the Law of Sines applies to all triangles, including right triangles. For right triangles, you can also use Pythagorean theorem and basic trigonometric ratios.