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Medium Side of Scalene Triangle Formula:
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The Medium Side of Scalene Triangle formula calculates the length of the second longest side of a scalene triangle when given the semiperimeter and the other two sides. This formula is derived from the basic perimeter relationship of triangles.
The calculator uses the formula:
Where:
Explanation: The formula is derived from the relationship between the semiperimeter and the sides of a triangle, where the semiperimeter is half the sum of all three sides.
Details: Calculating the medium side is important in various geometric applications, including triangle classification, area calculation, and solving triangle-related problems in mathematics and engineering.
Tips: Enter the semiperimeter and the lengths of the longer and shorter sides in meters. All values must be positive numbers, and the semiperimeter should be greater than the sum of the other two sides for a valid triangle.
Q1: What is 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: How is semiperimeter related to the sides?
A: Semiperimeter (s) is half the perimeter of the triangle: \( s = \frac{a + b + c}{2} \), where a, b, and c are the three sides.
Q3: Can this formula be used for other types of triangles?
A: Yes, this formula works for any triangle where you know the semiperimeter and two sides, regardless of the triangle type.
Q4: What if the calculated medium side is negative?
A: A negative result indicates that the input values do not form a valid triangle according to the triangle inequality theorem.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact, provided the input values satisfy triangle inequality conditions.