1. What is an Obtuse Triangle Area Calculator?

Definition: This calculator computes the area of an obtuse triangle using two sides and the included angle (greater than 90 degrees).

Purpose: It helps students, engineers, and designers calculate the area of triangles where one angle exceeds 90 degrees.

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 (degrees, must be >90)

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

3. Importance of Obtuse Triangle Area Calculation

Details: Accurate area calculation is essential in geometry, construction, and design projects involving non-right-angled triangles.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: What units should I use?
A: The calculator uses meters for side lengths, but any consistent unit can be used as long as all sides use the same unit.

Q3: Can I use this for right triangles?
A: While the formula works, it's more efficient to use the simple ½×base×height formula for right triangles.

Q4: How accurate is the calculation?
A: The calculation is mathematically precise, but real-world measurements may introduce practical inaccuracies.

Q5: What if I know three sides but no angles?
A: Use Heron's formula instead, which calculates area using three side lengths.