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# Area of Triangle

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 Sub Topics A Polygon is formed by joining three or more line segments and producing the closed figure with the help of the line segments. If we have only three line segments joined to form a figure, we name it as triangle, so a triangle is a polygon, which we say is the closed figure, with three sides, three edges and three vertexes. Here we will learn how to find the area of Triangles. To find the area for triangle, we will first find the Altitude and the base of the triangle. If we know the altitude and the base of the triangle, we say that the area of the triangle is equal to half the product of the base and the altitude. We say that this method of finding the area of the triangle is only possible when we know the height of the triangle. Here in such cases, we take into consideration the triangle which is the half of the quadrilateral. In case we do not know the base and the height of the triangle, we say that we should know the sides of the given triangle, whose area we need to find. In such a situation, we apply heron’s formula of finding the area of the triangle. According to herons formula, if we have a, b and c as the three sides of the triangle, we will first find the value of s, such that:S = $\frac{(a+b+c)}{2}$Now once we find the value of s, we use the formula given below to find the area of the triangle as follows: Area of the triangle = $\sqrt{(s(s-a)*(s-b)*(s-c))}$ The area is always calculated in the Square units.

## Area of Triangle Formulas

$\frac{1}{2}$ (b x h) = Area of triangle = one half times the base length times the height of the triangle
Area of Equilateral Triangle = $\frac{\sqrt{3}}{4}$ (a2)
Heron's Formula = S = $\frac{(a+b+c)}{2}$
Regular polygon = ($\frac{1}{2}$) n sin($\frac{360^{0}}{n}$) S2