Triangle Area Calculator

Triangle area calculation

Formula for finding the triangle area through 2 sides and an angle:

where a, b — the sides of the triangle, α — the angle between them.

Formula for finding the triangle area through base and height:

where a — the base of the triangle, h — the height of the triangle.

Formula for finding the triangle area through the circumscribed circle and sides:

where a, b, c — the sides of the triangle, R — the radius of the circumscribed circle.

Formula for finding the triangle area through the inscribed circle and sides:

where a, b, c — the sides of the triangle, r — the radius of the inscribed circle.

Formula for finding the triangle area through one side and two adjacent angles:

where a — the side of the triangle, α and β — the adjacent angles, γ — the opposite angle, which can be found by the formula: γ=180—(α+β)

Formula for finding the triangle area using Heron's formula (if 3 sides are known):

where a, b, c — the sides of the triangle, p — the semi-perimeter of the triangle, which can be calculated by the formula p=(a+b+c)/2

Formula for finding the area of a right triangle by two sides:

where a, b — the sides of the triangle.

Formula for finding the area of a right triangle by hypotenuse and acute angle:

where c — the hypotenuse of the triangle, α — any of the adjacent acute angles.

Formula for finding the area of a right triangle by a leg and adjacent angle:

where a — the leg of the triangle, α — the adjacent angle.

Formula for finding the area of a right triangle by the radius of the inscribed circle and hypotenuse:

where c — the hypotenuse of the triangle, r — the radius of the inscribed circle.

Formula for finding the area of a right triangle through the inscribed circle:

where c1 and c2 — parts of the hypotenuse.

Heron's formula for a right triangle looks like this:

where a, b — the legs of the triangle, p — the semi-perimeter of the right triangle, calculated by the formula p=(a+b+c)/2

Formula for finding the area of an isosceles triangle through base and side:

where a — the side of the triangle, b — the base of the triangle

Formula for finding the area of an isosceles triangle through base and angle:

where a — the side of the triangle, b — the base of the triangle, α — the angle between the base and the side.

Formula for finding the area of an isosceles triangle through base and height:

where b — the base of the triangle, h — the height drawn to the base.

Formula for finding the area of an isosceles triangle through the sides and angle between them:

where a — the side of the triangle, α — the angle between the sides.

Formula for finding the area of an isosceles triangle through the base and the angle between the sides:

where b — the base of the triangle, α — the angle between the sides.

Formula for finding the area of an equilateral triangle through the circumscribed circle radius:

where R — the radius of the circumscribed circle.

Formula for finding the area of an equilateral triangle through the inscribed circle radius:

where r — the radius of the inscribed circle.

Formula for finding the area of an equilateral triangle through the side:

where a — the side of the triangle.

Formula for finding the area of an equilateral triangle through the height:

where h — the height of the triangle.

Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Enter dimensions in mm:
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input
Invalid input

Information

Understanding how to compute the area of a triangle is a fundamental concept introduced early in education and remains crucial across numerous practical applications. Whether you are a builder, engineer, technician, or designer, determining the area of a right triangle is often vital when planning material usage or evaluating design specifications.

Our online Triangle Area Calculator is engineered to offer multiple versatile methods for computing the area of triangles—including right, isosceles, equilateral, and scalene forms—using different parameters such as sides, angles, or the circumscribed circle radius. This robust tool not only delivers immediate results but also details each computational step, making it ideal for both quick approximations and thorough validation of manual calculations.

How to calculate the area of a triangle online?

To assist professionals and enthusiasts in efficiently answering the common query, "How do I calculate the area of a triangle?" while minimizing the risk of costly errors, we have developed this reliable online solution. The calculator applies standard geometric formulas that work with any set of input data, allowing you to compute the area of an isosceles triangle in just a few seconds or effortlessly determine the area of an equilateral triangle—frequently known as a regular triangle.

A triangle is a fundamental geometric figure formed by three connected line segments meeting at vertices. With our calculator, you can precisely derive the area in square meters (m²), a key measurement especially valuable in construction and architectural design.

Classification of triangles

Based on angles:

  • acute;
  • obtuse;
  • right.

Based on sides:

  • equilateral;
  • isosceles;
  • scalene.

Utilizing the sine function along with methods such as Heron’s formula, our Triangle Area Calculator delivers a robust approach to calculating the area using either three sides or two sides plus the included angle. This adaptability ensures that you can tackle a broad spectrum of triangle types with confidence and precision.

This online calculator minimizes the risk of manual errors and conserves valuable time by harnessing advanced geometric and mathematical principles to provide swift and accurate measurements for any triangular configuration.

See also: