1. What is a Triangle 3 Sides Calculator?

Definition: This calculator computes the area of a triangle when you know the lengths of all three sides using Heron's Formula.

Purpose: It helps construction professionals, surveyors, and geometry students calculate triangular areas without needing height measurements.

2. How Does the Calculator Work?

The calculator uses Heron's Formula:

Where:

• \( A \) — Area of the triangle (square meters)
• \( a, b, c \) — Lengths of the triangle sides (meters)
• \( s \) — Semi-perimeter of the triangle (meters)

Explanation: First calculate the semi-perimeter, then use it to determine the area under the square root.

3. Importance of Triangle Area Calculation

Details: Accurate area calculations are essential for material estimation, land surveying, structural design, and many engineering applications.

4. Using the Calculator

Tips: Enter the lengths of all three sides in meters. All values must be > 0 and must satisfy the triangle inequality theorem.

5. Frequently Asked Questions (FAQ)

Q1: What is the triangle inequality theorem?
A: The sum of any two sides must be greater than the third side (a+b>c, a+c>b, b+c>a).

Q2: Can I use this for any unit of measurement?
A: Yes, as long as all three sides use the same unit (convert if necessary).

Q3: What if I only know two sides and an angle?
A: Use our Triangle SAS Calculator instead for side-angle-side cases.

Q4: How accurate are the results?
A: Results are mathematically precise, though real-world measurements may have limitations.

Q5: Can this calculate right triangle areas?
A: Yes, it works for all triangle types including right, acute, and obtuse triangles.