Obtuse Angle Triangle Area Calculator

Triangle Area Formula:

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

Area (square meters):

Unit Converter ▲

Unit Converter ▼

From:	To:

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 (between 90° and 180°) are known.

Purpose: It helps students, engineers, and designers quickly calculate the area of obtuse-angled triangles without manual computation.

2. How Does the Calculator Work?

The calculator uses the trigonometric 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 obtuse angle (degrees, between 90° and 180°)

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

3. Importance of Obtuse Angle Triangle Calculation

Details: Obtuse triangles are common in architectural designs, roof trusses, and various engineering applications where precise area calculations are crucial.

4. Using the Calculator

Tips: Enter the lengths of two sides in meters and the included obtuse angle in degrees. The angle must be between 90° and 180°.

5. Frequently Asked Questions (FAQ)

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

Q2: Can I use this for right triangles?
A: While it will work (sin(90°)=1), our right triangle calculator would be more appropriate.

Q3: What units does this calculator use?
A: All lengths are in meters and angles in degrees. The area result is in square meters.

Q4: How precise are the results?
A: Results are accurate to 3 decimal places, suitable for most practical applications.

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