Area of Non Right Angle Triangle

Triangle Area Formula:

\[ \text{Area} = \frac{1}{2} \times a \times b \times \sin(C) \]

Area (square meters):

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

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

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:

\[ \text{Area} = \frac{1}{2} \times a \times b \times \sin(C) \]

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 calculations are essential for material estimation, construction planning, and land surveying.

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 exactly 90 degrees?
A: The formula simplifies to the right triangle formula (1/2 × base × height) since sin(90°) = 1.

Q2: Can I use this for any triangle?
A: Yes, as long as you know two sides and the included angle (SAS configuration).

Q3: What units does this calculator use?
A: The calculator uses meters for lengths and degrees for angles, with results in square meters.

Q4: How accurate is the calculation?
A: The calculation is mathematically precise, limited only by the precision of your input values.

Q5: What if my angle is 0° or 180°?
A: These would represent degenerate triangles (straight lines) with zero area, which the calculator will correctly compute.