Area of a Non Right Angled Triangle Formula

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 the Area of a Non Right Angled Triangle?

Definition: This calculator computes the area of any triangle when you know two sides and the included angle.

Purpose: It helps students, engineers, and designers calculate areas of triangles that aren't right-angled.

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 first side (meters)
\( b \) — Length of second side (meters)
\( C \) — Included angle between sides a and b (degrees)

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

3. Importance of Triangle Area Calculation

Details: Accurate area calculations are essential in construction, land surveying, and various engineering applications.

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: Why use this formula instead of base × height?
A: When the height isn't known or easily measurable, this formula provides a direct calculation using sides and angle.

Q2: What if my angle is in radians?
A: Convert radians to degrees first (1 radian ≈ 57.2958 degrees) or modify the formula to use radians directly.

Q3: Does the angle have to be between the two sides?
A: Yes, the angle must be the included angle between the two sides you're using in the calculation.

Q4: What's the maximum angle allowed?
A: The angle must be less than 180 degrees for a valid triangle.

Q5: Can I use this for right-angled triangles?
A: Yes, when C=90°, sin(90°)=1, so it reduces to the standard right triangle area formula.