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Medium Side of Scalene Triangle Calculator

Formula Used:

\[ S_{Medium} = P - (S_{Longer} + S_{Shorter}) \]

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1. What is the Medium Side of Scalene Triangle?

The Medium Side of Scalene Triangle is the length of the second longer side out of the three sides in a scalene triangle where all sides have different lengths.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S_{Medium} = P - (S_{Longer} + S_{Shorter}) \]

Where:

Explanation: The medium side is calculated by subtracting the sum of the longer and shorter sides from the total perimeter of the triangle.

3. Importance of Medium Side Calculation

Details: Calculating the medium side is essential for complete triangle analysis, construction verification, and solving various geometric problems involving scalene triangles.

4. Using the Calculator

Tips: Enter the perimeter, longer side, and shorter side values in meters. All values must be positive numbers, and the sum of the longer and shorter sides must be less than the perimeter.

5. Frequently Asked Questions (FAQ)

Q1: What defines a scalene triangle?
A: A scalene triangle is a triangle with all three sides of different lengths and all three angles of different measures.

Q2: Can this formula be used for other types of triangles?
A: While the formula works mathematically for any triangle, it's specifically meaningful for scalene triangles where sides have distinct lengths classified as shorter, medium, and longer.

Q3: What are the measurement units for this calculation?
A: The calculator uses meters, but the formula works with any consistent unit of measurement (cm, mm, inches, etc.).

Q4: What if the sum of longer and shorter sides equals the perimeter?
A: This would result in a medium side of zero, which is geometrically impossible for a triangle. The sum of any two sides must be greater than the third side.

Q5: How accurate are the results?
A: The results are accurate to four decimal places, providing precise measurements for most practical applications.

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