1. What is the Unequal Triangle Calculator?

Definition: This calculator checks whether three given side lengths can form a valid triangle using the Triangle Inequality Theorem.

Purpose: It helps students, engineers, and designers verify if three lengths can form a triangle before proceeding with geometric calculations.

2. How Does the Calculator Work?

The calculator uses the Triangle Inequality Theorem:

Where:

• \( a \) — Length of side A (meters)
• \( b \) — Length of side B (meters)
• \( c \) — Length of side C (meters)

Explanation: For three lengths to form a triangle, the sum of any two sides must be greater than the third side.

3. Importance of Triangle Validation

Details: Validating triangle sides prevents errors in construction, engineering designs, and geometric calculations where triangle properties are fundamental.

4. Using the Calculator

Tips: Enter three positive side lengths in meters. The calculator will verify if they satisfy all three inequalities of the Triangle Inequality Theorem.

5. Frequently Asked Questions (FAQ)

Q1: What makes a triangle "unequal"?
A: An unequal triangle has all three sides of different lengths (scalene triangle).

Q2: Can this calculator be used for equal-sided triangles?
A: Yes, it works for all triangle types (scalene, isosceles, and equilateral).

Q3: What units should I use?
A: The calculator uses meters, but any consistent unit will work as long as all sides use the same unit.

Q4: What if one inequality fails?
A: The triangle is invalid if any one of the three inequalities fails.

Q5: Can this determine triangle type?
A: No, this only validates if a triangle is possible. Additional calculations would be needed to determine if it's acute, right, or obtuse.