1. What is the Triangle Area Calculator (3 Sides)?

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

Purpose: It's useful in geometry, construction, land surveying, and any application where you need to determine triangular area without height measurements.

2. How Does the Calculator Work?

The calculator uses Heron's formula:

Where:

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

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

3. Importance of Triangle Area Calculation

Details: Accurate area calculation is essential for material estimation, land measurement, architectural design, and many engineering applications.

4. Using the Calculator

Tips: Enter the lengths of all three sides in meters. The values must be positive and satisfy the triangle inequality (sum of any two sides must exceed the third).

5. Frequently Asked Questions (FAQ)

Q1: What if my sides don't form a valid triangle?
A: The calculator will show an error message if the side lengths violate the triangle inequality theorem.

Q2: What units should I use?
A: The calculator works with any consistent units (meters, feet, etc.), but all sides must be in the same unit.

Q3: How accurate is the calculation?
A: The calculation is mathematically precise, though practical accuracy depends on your side measurements.

Q4: Can I use this for right triangles?
A: Yes, it works for all triangle types (acute, right, obtuse) as long as you know all three sides.

Q5: Why use Heron's formula instead of base×height?
A: Heron's formula is useful when you don't have height measurements, which is common in real-world applications.