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Calculate the area of a triangle using base and height, two sides and the included angle, or Heron's formula. Ideal for math studies and engineering measurements.
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Struggling to remember formulas for calculating the area of a triangle? This tool provides three common calculation methods and instantly outputs precise area values. A triangle is a plane figure enclosed by three sides, and its area can be calculated using different formulas based on known parameters: use A=½bh for base and height, A=½absinC for two sides and the included angle (SAS), and Heron's formula A=√[s(s-a)(s-b)(s-c)] for three sides (SSS), where s is the semi-perimeter.
Q: What units should I use when calculating with three sides?
A: Length units must be consistent. For example, if you input centimeters, the output will be in square centimeters.
Q: Does the two sides and included angle mode support radian input?
A: No, the current version only accepts degrees (e.g., for 30°, just enter 30).
Input side lengths must be positive numbers and satisfy the triangle inequality theorem (the sum of any two sides must be greater than the third side). The angle input range is between 0 and 180 degrees. Results are precise up to 6 decimal places. All calculations are performed locally in your browser, ensuring no data upload risks.
For irregular triangles, we recommend using Heron's formula. Typical example: For a triangle with side lengths of 5cm, 6cm, and 7cm, the semi-perimeter s=9, and the area is ≈14.7cm². In educational settings, we recommend verifying the formula derivation process alongside using the tool to deepen geometric understanding.
