 # How to find the area of a triangle ## How to find the area of a triangle

The area of a polygon is that the amount of square units within that polygon. Area is 2-dimensional just like a rug or an area rug. A triangle is a three-sided polygon. We will look at how to find the area of a triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted .

The most common way to find the area of a triangle is to take half of the base times the height. Numerous other formulas exist, however, for finding the area of a triangle, depending on what information you know. Using information about the sides and angles of a triangle, it is possible to calculate the area without knowing the height.

To locate the area of a triangle, then multiply the base by the height, then divide by two. The division by two comes in the fact that a parallelogram can be broken into two triangles. By way of instance, from the diagram, the area of each triangle is equivalent to half the area of the parallelogram.  #### The Formula

Since the area of a parallelogram is A = B * H, the area of a triangle must be one-half the area of a parallelogram. Thus, the formula for the area of a triangle is: or At which b will be the base of the triangle. H is the height of the triangle. And · means multiply.

Given the base and the height of a triangle, we can find the area. Given the area and either the base or the height of a triangle, we can find the other dimension.

Also you can find the area of a triangle using trigonometry, Heron’s formula, vectors, coordinates, line integrals, Pick’s theorem and Formulas resembling Heron’s formula.

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