Area of ​​a Triangular Region

The area of ​​a triangular region is given by the following formula:


h = height measurement
b = base measure
We can write: the area of ​​a triangular region is given by half the product of the base measure and the corresponding height measure.
Example 1

We cannot always use the formula mentioned above, as in some situations the base or height is not given, so we have to resort to Heron's Formula.
Given a triangle of sides a, b and c we have:
Where p is the semiperimeter value.
Example 2


There is another way to calculate the area of ​​a triangle, when we know the measurements of two of its sides and the measurement of the angle formed by them, the area of ​​the region will be calculated as follows:
Example 3

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by Mark Noah
Graduated in Mathematics
Brazil School Team

Spatial Geometry - Math - Brazil School

Would you like to reference this text in a school or academic work? Look:

SILVA, Marcos Noé Pedro da. "Area of ​​a Triangular Region";

Brazil School. Available in: https://brasilescola.uol.com.br/matematica/area-do-triangulo.htm. Accessed on June 28, 2021.

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