1. What is Heron's Formula?

Definition: Heron's formula calculates the area of a triangle when you know the lengths of all three sides.

Purpose: It provides a way to calculate triangle area without needing to know the height or angles.

2. How Does the Calculator Work?

The calculator uses Heron's formula:

Where:

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

Explanation: First calculate the semi-perimeter, then use it in the main formula to find the area.

3. Importance of Triangle Area Calculation

Details: Calculating triangle areas is fundamental in geometry, construction, surveying, and various engineering applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the triangle inequality theorem?
A: It states that the sum of any two sides must be greater than the third side for a valid triangle.

Q2: Can I use this for any type of triangle?
A: Yes, Heron's formula works for all types of triangles (scalene, isosceles, equilateral).

Q3: What units should I use?
A: The calculator uses meters, but you can use any unit as long as all sides are in the same unit.

Q4: How accurate is the calculation?
A: The calculator provides results with 3 decimal places for precision.

Q5: What if I get an error message?
A: The error means your side lengths don't form a valid triangle. Check your measurements.