Formula Used:
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The formula calculates the length of side A of a triangle when given the area, side C, and the sine of angle B. This is derived from the standard area formula for triangles.
The calculator uses the formula:
Where:
Explanation: This formula rearranges the standard triangle area formula to solve for side A when area, side C, and sin B are known.
Details: Calculating side lengths from known parameters is essential in geometry, engineering, and various practical applications involving triangular structures and measurements.
Tips: Enter the area in square meters, side C in meters, and sin B as a value between 0 and 1. All values must be positive numbers.
Q1: What if sin B is exactly 0?
A: Sin B cannot be 0 in this calculation as it would result in division by zero, which is undefined. Sin B must be between 0 and 1 (exclusive).
Q2: Can this formula be used for any triangle?
A: Yes, this formula works for any triangle where the given parameters are known and valid.
Q3: What units should I use?
A: Use consistent units throughout. The calculator assumes meters for lengths and square meters for area.
Q4: How accurate is the calculation?
A: The accuracy depends on the precision of your input values. The calculator provides results with 4 decimal places.
Q5: Can I use this for right triangles?
A: Yes, this formula works for right triangles as well as any other triangle type.