Area of Oblique Triangle Calculator

Oblique 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 an Oblique Triangle Area Calculator?

Definition: This calculator computes the area of an oblique triangle (non-right triangle) using two sides and the included angle.

Purpose: It helps in geometry, engineering, and construction projects where triangular areas need to be calculated without right angles.

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 side a (meters)
\( b \) — Length of side b (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 the included angle.

3. Importance of Oblique Triangle Calculation

Details: Accurate area calculation is essential for land measurement, architectural design, and material estimation in construction projects.

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 is an oblique triangle?
A: An oblique triangle is any triangle that doesn't contain a right angle (90 degrees).

Q2: Can I use this for right triangles?
A: Yes, when C=90°, sin(90°)=1, so it reduces to the standard right triangle area formula (½×base×height).

Q3: What units should I use?
A: The calculator uses meters for sides and degrees for angles, but any consistent units will work proportionally.

Q4: Why does angle C need to be less than 180°?
A: In Euclidean geometry, triangle angles must sum to 180°, so no single angle can be 180° or more.

Q5: What if I know three sides but no angles?
A: Use Heron's formula instead. We may add that calculator in the future.