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`A = 1/2* "b" * "c" *sin( alpha )`

Enter a value for all fields

The **Area of a Triangle Area based on Two Sides and Angle** calculator computes the area of a triangle given the length of two sides **(b **&** c)** and the inscribed angle **(α)**.

**INSTRUCTIONS: **Choose units and enter the following:

**(α)**Angle between Two Sides**(b)**Length of Side**(c)**Length of other Side

**AREA (A):**The calculator returns the area in square meters (m²). However, this can be automatically converted to other area units (e.g. square feet) via the pull-down menu.

The formula for the area of a triangle based on the length of two sides and the angle between them is:

`A = 1/2*b*c*sin(α)`

where:

- A = Area of the triangle
- b = length of one side
- c = length of other side
- α = angle between them

A **triangle** is a polygon with three sides, three vertices (corners), and three angles. **Triangles **can be classified based on the lengths of their sides and the measures of their angles as follows:

By Side Lengths:

**Equilateral Triangle**: All three sides are equal in length.**Isosceles Triangle**: Two sides are equal in length.**Scalene Triangle**: All three sides have different lengths.

By Angle Measures:

**Acute Triangle**: All three angles are less than 90 degrees.**Right Triangle**: One angle is exactly 90 degrees.**Obtuse Triangle**: One angle is greater than 90 degrees.

The sum of the interior angles of any triangle always adds up to 180 degrees.

- Area of Triangle (base and height)
- Area of Triangle (two sides and interior angle)
- Area of Triangle (two angles and interior side)
- Area of Triangle (three sides)
- Area of Equilateral Triangle
- Area of Triangle (three points)
- Height of Triangle
- Width of Triangle
- Triangle Perimeter
- Interior Angle of a triangle based on the length of three sides
- Semi-perimeter of a triangle
- Area of Circle Within a Triangle
- Area of Circle Around a Triangle
- Area between two vectors
- Triangle Volume