The Area of a Triangle Based on Two Angles and the Interior Side calculator computes the area of a triangle given the measurement of two of the triangle’s angles and the dimension of the interior side.
INSTRUCTIONS: Choose units and enter the following: :
- (α) Angle 1
- (β) Angle 2
- (c) Length of Side in between them.
Area of a Triangle (A): The calculator computes the area of the triangle in square meters (m2). However, this can be automatically converted to other area units (e.g. square feet) via the pull-down menu.
The Math / Science
The formula for the area of a triangle based on two angles and the length of the side in between them is:
`A = (c^2 * sin(β) * sin(α)) / (2 * sin( 2π - α - β)`
where:
- A = Area of triangle
- α = one interior angle
- β = second interior angle
- c = length of side between angles
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.
Triangle Calculators
- 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
