1. What is an Obtuse Angle Triangle Area Calculator?

Definition: This calculator computes the area of a triangle when two sides and the included obtuse angle are known.

Purpose: It helps in geometry calculations, construction planning, and land measurement for triangles with one angle between 90° and 180°.

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 obtuse angle (90° to 180°)
• \( Area \) — Resulting area (square meters)

Explanation: The formula calculates the area using the product of two sides and the sine of the included angle.

3. Importance of Obtuse Triangle Calculation

Details: Accurate area calculation is crucial for material estimation, architectural design, and land surveying involving non-right-angle triangles.

4. Using the Calculator

Tips: Enter the lengths of two sides in meters and the included angle (must be between 90° and 180°). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why must the angle be between 90° and 180°?
A: This calculator is specifically designed for obtuse triangles (one angle > 90°). For acute triangles, use a standard triangle area calculator.

Q2: Can I use this for right triangles?
A: While it will work (sin(90°)=1), it's more efficient to use the simple right triangle formula (1/2 × base × height).

Q3: How accurate is this calculation?
A: The calculation is mathematically precise, assuming exact input values. Real-world measurements may introduce some error.

Q4: What units does this calculator use?
A: The calculator uses meters for lengths and degrees for angles, resulting in square meters for area.

Q5: Can I use feet instead of meters?
A: Yes, but all measurements must be consistent. The result will be in square feet if feet are used for side lengths.