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Calculate The Area Of A Triangle Using Heron's Formula

Last updated: Saturday, June 24, 2023
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Heron's Formula

Heron's Formula is a method to find the area of a triangle when the length of all three sides are known. It is named after the Greek mathematician Hero of Alexandria. The formula involves calculating the semiperimeter of the triangle (half the perimeter), and then using that value to calculate the area. Heron's Formula is often used in fields such as engineering and architecture to find the area of triangular structures. It is also used in trigonometry and geometry.

Heron's Formula is useful for finding the area of any triangle, including those that are not right triangles. It is also useful for finding the area of irregular shapes that can be broken down into triangles.

The Heron's formula for determining the area of a triangle is defined as:
\(where\)
\(s\) \(=\) \(\dfrac{a + b + c}{2}\)
\(A\): the area of the triangle
\(a\): the length of a
\(b\): the length of b
\(c\): the length of c
The SI unit of area is: \(square \text{ } meter\text{ }(m^2)\)

Find \(A\)

Use this calculator to determine the area of a triangle using the lengths of all sides.
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the length of a
\(a\)
\(meter\)
the length of b
\(b\)
\(meter\)
the length of c
\(c\)
\(meter\)
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