Triangle Area Calculator (9 diferent ways)
This free online calculator will help you to find the area of a triangle (9 different ways).
Using this online calculator, you will receive a detailed step-by-step solution to your problem, which will help you understand the algorithm how to find triangle area.
- Some theory
Calculation of Triangle Area
Entering data into the triangle area calculator
You can input only integer numbers or fractions in this online calculator. More in-depth information read at these rules.
N.B. In online calculator you can use the value in the same units of measurement!
If you have any difficulties with units conversion, you can use the length converter and area converter.
Additional features of triangle area calculator
You can find the area of a triangle if you know the following values:
- Lengths of the three sides (using Heron's formula)
- Lengths of the two sides and angle between them
- Lengths of the base of the triangle, and altitude of the triangle
- Lengths of the three sides and circumradius
- Lengths of the three sides and in-radius
- Lengths of the semiperimeter and in-radius
- Lengths of the two sides of triangle and angle
- Length of the side of triangle and two angles
- Length of the circumradius and two angles
Theory. Triangle Area
is a geometric figure which consists of three points which are not lying on one straight line, and three line segments in pairs connecting these points. Points are called as triangle vertices, and line segments are called as triangle sides.
The formulas for calculating the area of a triangle
- Area of a triangle when we know the base and the height
The area of a triangle is equal to half of base times height.
- Area of a triangle when we know the lengths of all three of its sides
A = √s(s - a)(s - b)(s - c)
- Area of a triangle when we know two sides and the included angle
The area of a triangle is equal to half of a product of two sides and sine of the angle between this sides.
- Area of a triangle when we know three sides and circumradius
- Area of a triangle when we know semiperimeter and in-radius
The area of a triangle is equal to semiperimeter times in-radius.
A = s · r
where A - the area of a triangle,
a, b, c - the length of sides BC,AC,AB accordingly,
h - the height, the length of the altitude,
γ - the angle between sides a and b,
r - the length of the in-radius,
R - the length of the circumradius,
p - the semiperimeter, or half of the triangle's perimeter.
You can input only integer numbers, decimals or fractions in this online calculator (-2.4, 5/7, ...). More in-depth information read at these rules.
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