Contents
The publication presents online calculators and formulas for calculating the area of a triangle according to various initial data: through the base and height, three sides, two sides and the angle between them, three sides and the radius of the inscribed or circumscribed circle.
Area calculation
Instructions for use: enter the known values, then press the button “Calculate”. As a result, the area of the triangle will be calculated.
1. Through the base and height
Calculation formula
2. Through the length of three sides (Heron’s formula)
Note: if the result is zero, then the segments with the specified lengths cannot form a triangle (follows from the properties).
Calculation formula:
p – semi-perimeter, which is considered as follows:
3. Through two sides and the angle between them
Note: the maximum angle in radians should not be greater than 3,141593 (approximate value of the number π), in degrees – up to 180° (exclusively).
Calculation formula
4. Through the radius of the circumscribed circle and the side
Calculation formula
5. Through the radius of the inscribed circle and side
Calculation formula
