1. What is Triangle Area Calculator (Given 2 Sides and Angle)?

Definition: This calculator computes the area of a triangle when you know the lengths of two sides and the measure of the included angle.

Purpose: It helps students, engineers, and designers quickly determine triangle areas without needing the height measurement.

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 area using the product of the sides' lengths and the sine of their included angle.

3. Importance of Triangle Area Calculation

Details: Accurate area calculations are essential in construction, land surveying, engineering, and various design applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What if my angle is in radians?
A: Convert it to degrees first (1 radian ≈ 57.2958 degrees) before entering.

Q2: Does the angle have to be between specific sides?
A: Yes, the angle must be the included angle between the two sides you're entering.

Q3: What's the maximum angle allowed?
A: The angle must be less than 180 degrees (as triangles can't have angles ≥ 180°).

Q4: Can I use this for right triangles?
A: Yes, when the angle is 90°, the formula simplifies to (1/2)*a*b.

Q5: How precise are the results?
A: Results are accurate to 3 decimal places, but real-world accuracy depends on input precision.