1. What is the Medium Angle of Scalene Triangle?

The Medium Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite to the medium side of the Scalene Triangle. In any triangle, the sum of all three angles equals π radians (180 degrees).

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \pi \) — Archimedes' constant (approximately 3.14159)
• Larger Angle — The largest angle in the scalene triangle (radians)
• Smaller Angle — The smallest angle in the scalene triangle (radians)

Explanation: This formula is derived from the fundamental property that the sum of all three angles in any triangle equals π radians.

3. Importance of Angle Calculation

Details: Calculating the medium angle is essential for complete triangle analysis, solving geometric problems, and understanding triangle properties in various applications including engineering, architecture, and computer graphics.

4. Using the Calculator

Tips: Enter both the larger and smaller angles in radians. Ensure the sum of the two given angles is less than π radians for a valid triangle.

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 use radians instead of degrees?
A: Radians are the standard unit of angular measure in mathematics and many scientific applications. 1 radian = 180/π degrees.

Q3: What if the sum of given angles equals or exceeds π radians?
A: This would violate the triangle angle sum property, indicating invalid input values for a triangle.

Q4: Can this calculator be used for other types of triangles?
A: Yes, the angle sum property applies to all triangles, so this formula works for equilateral and isosceles triangles as well.

Q5: How precise are the calculations?
A: The calculator uses PHP's built-in M_PI constant (approximately 3.1415926535898) and provides results rounded to 6 decimal places.