Triangle area calculation 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.

Type of triangle:

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Enter dimensions in mm:

Side, a:

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Side, b:

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Angle, a:

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Side, a:

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Height, h:

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Side, a:

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Height, b:

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Side, c:

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Circle radius, R:

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Side, a:

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Height, b:

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Side, c:

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Circle radius, R:

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Side, a:

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Angle, a:

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Angle, β:

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Side, a:

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Height, b:

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Side, c:

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Side, a:

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Height, b:

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Side, c:

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Angle, a:

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Side, a:

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Angle, a:

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Side, c:

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Circle radius, R:

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Part, c1:

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Part, c2:

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Leg, a:

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Leg, b:

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Leg, c:

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Side, a:

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Base, b:

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Side, a:

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Base, b:

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Angle, a:

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Base, b:

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Height, h:

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Side, a:

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Angle, a:

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Base, b:

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Angle, a:

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Radius, R:

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Radius, r:

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Side, a:

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Height, h:

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Output result in:

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Result:

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Information

In the modern world, it is impossible to imagine a person who has not encountered the area of a triangle. These concepts are taught even in elementary school. This knowledge is especially important in various fields of human activity. For example, a builder (engineer, technician, or designer) cannot avoid knowing how to calculate the area of a right triangle. This can be useful when calculating the amount of material needed for a particular object.

An online calculator for calculating the area of a triangle will help you find the area of a triangle in several ways depending on the known data. Our calculator not only calculates the area of a triangle but also provides a detailed solution, which will be displayed below the calculator. Therefore, this calculator is convenient not only for quick calculations but also for verifying your own computations.

How to find the area of a triangle online?

To save specialists in various industries from the recurring question, "How to find the area of a triangle?" and protect them from making mistakes during calculations, which could lead to catastrophic consequences, we created an online calculator. Our calculator incorporates a formula for finding the area of any triangle based on any initial data. With this tool, you can find the area of an isosceles triangle in less than 5 seconds. The calculator also instantly calculates the area of an equilateral triangle, which can be considered the area of a regular triangle, as an equilateral triangle is regular.

A triangle is a basic geometric figure consisting of three line segments that connect at the points (vertices) of the triangle. Using our calculator, you can calculate the area of a triangle in square meters (m²), which is convenient for use in construction and design.

There are two classifications of triangles

By angles:

acute;
obtuse;
right.

By sides:

equilateral;
isosceles;
scalene.

The calculator will help calculate the area using the sine function and inform you of the area of the given triangle, proving the versatility of our calculator, which is indispensable in certain situations. Its program includes a method for calculating the area of a triangle using three sides, allowing you to find the area of your triangle by its sides. It is also possible to calculate the area using two sides and the angle between them, making the triangle area calculator by sides especially convenient.

Thus, our calculator helps eliminate the risk of errors that could lead to very negative consequences. It saves time since there is no need to spend it on manual calculations of the required value. An important advantage is that the calculator accounts for the area of any type of triangle and applies any formula. You can calculate the area of a triangle quickly and accurately.

Triangle area calculation calculator