1. What is the Area of Triangle with 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 students, engineers, and professionals calculate triangle area without needing height measurements.

2. How Does the Calculator Work?

The calculator uses Heron's formula:

Where:

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

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

3. Importance of Triangle Area Calculation

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

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is Heron's formula?
A: It's a formula that calculates the area of a triangle when you know the lengths of all three sides, without needing the height.

Q2: What is the triangle inequality theorem?
A: It states that the sum of any two sides of a triangle must be greater than the third side for a valid triangle.

Q3: Can I use this for any type of triangle?
A: Yes, Heron's formula works for all types of triangles - scalene, isosceles, and equilateral.

Q4: What units does this calculator use?
A: The calculator uses meters for side lengths and returns area in square meters, but you can use any consistent unit.

Q5: How accurate is the result?
A: The calculator provides results with 3 decimal places, but actual accuracy depends on your input measurements.