1. What is the Area of a Non Right Angled Triangle?

Definition: This calculator computes the area of a triangle when you know two sides and the included angle (SAS).

Purpose: It helps in geometry calculations, construction planning, and land measurement where right angles aren't present.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a \) — Length of first side (meters)
• \( b \) — Length of second side (meters)
• \( C \) — Included angle between sides a and b (degrees)

Explanation: The formula calculates the area by multiplying half the product of two sides by the sine of their included angle.

3. Importance of Triangle Area Calculation

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

4. Using the Calculator

Tips: Enter the lengths of two sides and the included angle (must be between 0° and 180°). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why use this formula instead of base × height?
A: When the height isn't known or easily measurable, this SAS formula provides a direct calculation using readily available measurements.

Q2: What if my angle is exactly 90 degrees?
A: The formula still works and simplifies to the standard right triangle area formula (½ × base × height) since sin(90°) = 1.

Q3: How accurate is this calculation?
A: The calculation is mathematically precise, though real-world accuracy depends on the precision of your measurements.

Q4: Can I use this for any triangle?
A: Yes, as long as you know two sides and the included angle, this formula works for all triangle types (acute, obtuse, or right-angled).

Q5: What units should I use?
A: The calculator uses meters for length, but any consistent unit will work (just remember your area will be in square units of that measurement).