1. What is an Obtuse Triangle Area Calculator?

Definition: This calculator computes the area of an obtuse triangle using two side lengths and the included angle.

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 angle between sides a and b (degrees, must be ≥90° and <180°)

Explanation: The formula calculates the area using trigonometric principles, specifically the sine of the included angle.

3. Importance of Obtuse Triangle Calculation

Details: Accurate area calculation is essential for material estimation, construction projects, and land surveying involving non-right-angled triangular spaces.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What defines an obtuse triangle?
A: A triangle with one angle greater than 90° but less than 180°.

Q2: Can I use this for acute triangles?
A: Yes, but the angle must be changed to <90°. The formula works for any triangle.

Q3: What units should I use?
A: The calculator uses meters for lengths and degrees for angles, resulting in square meters for area.

Q4: How precise should my angle measurement be?
A: For best results, measure angles to at least one decimal place (e.g., 102.5°).

Q5: What if I get an error message?
A: Check that all values are positive and the angle is between 90° and 180°.