Calculate the area of a triangle given base and height.
The Triangle Area Calculator is a geometric tool designed to calculate the area of a triangle given its dimensions. A triangle is a three-sided polygon. The area of a triangle can be solved using several different formulas depending on which dimensions are known, such as the base and height, two sides and the included angle, or all three sides.
The most common formula is: Area = 1/2 × base × height, where the base (b) is any side and the height (h) is the perpendicular distance from that base to the opposite vertex. If the height is not known but two sides (a, b) and their included angle (C) are given, the area can be calculated as Area = 1/2 × a × b × sin(C). If only the three sides are known, Heron's Formula is used: Area = √[s(s−a)(s−b)(s−c)], where s is the semi-perimeter: (a + b + c) / 2.
Triangle area calculations are essential in land surveying, carpentry, drafting, and physics. Since any polygon can be divided into a series of triangles, triangular calculations form the basis for measuring irregular land areas. The triangle area calculator automates these different formulas, providing instant, decimal-precise results that prevent manual errors and help users solve geometry problems easily.
Triangle Area Formulas
The area represents the size of the 2D surface enclosed by the three vertices of a triangle.
- Standard formula:
A = ½ × base × height
How it Works & Formula
Calculates the area of a standard triangle based on base and altitude.
Practical Examples
A sail with base 4m and height 9m has an area of ½ × 4 × 9 = 18 m².
Frequently Asked Questions
Does this formula work for all triangles?
Yes, as long as the height is the perpendicular altitude corresponding to the chosen base.