1. What is the Longer Side of Scalene Triangle?

The Longer Side of Scalene Triangle is the length of the longer side out of the three sides. In other words, the longer side of the Scalene Triangle is the side opposite to the larger angle.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( S_{\text{Longer}} \) — Longer Side of Scalene Triangle (m)
• \( P \) — Perimeter of Scalene Triangle (m)
• \( S_{\text{Medium}} \) — Medium Side of Scalene Triangle (m)
• \( S_{\text{Shorter}} \) — Shorter Side of Scalene Triangle (m)

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

3. Importance of Calculating the Longer Side

Details: Calculating the longer side is crucial for understanding the geometric properties of a scalene triangle, determining triangle inequality, and solving various geometric problems involving triangles.

4. Using the Calculator

Tips: Enter the perimeter and the lengths of the medium and shorter sides in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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: Why is the longer side important?
A: The longer side is opposite the largest angle in the triangle, which helps in understanding the triangle's geometry and solving trigonometric problems.

Q3: Can this formula be used for other types of triangles?
A: While the formula works for any triangle, it's specifically useful for scalene triangles where all sides are different.

Q4: What are the units used in this calculator?
A: The calculator uses meters as the unit of measurement, but the formula works with any consistent unit of length.

Q5: What if the calculated longer side is negative?
A: A negative result indicates invalid input values that don't satisfy the triangle inequality theorem.