1. What is a Triangle Range 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 is essential for accurate geometric calculations, construction planning, and CAD design.

4. Using the Calculator

Tips: Enter three positive side lengths in meters. The calculator will verify if they satisfy the triangle inequality theorem.

5. Frequently Asked Questions (FAQ)

Q1: What happens if one inequality fails?
A: If any one of the three inequalities fails, the three lengths cannot form a triangle.

Q2: Does this work for degenerate triangles?
A: No, this calculator checks for proper triangles where the sum of any two sides is strictly greater than the third.

Q3: What units should I use?
A: The calculator works with any consistent units (meters shown), but all sides must be in the same unit.

Q4: Can I use decimal values?
A: Yes, the calculator accepts decimal values with up to two decimal places.

Q5: What about right triangles?
A: This calculator only checks triangle validity. For right triangle verification, you'd need to check the Pythagorean theorem separately.