A triangle is a special type of a Polygon. We say that a triangle is a figure with three sides, three vertex and 3 angles. Here we talk about how to find the area of a triangle. We say that the area of any closed figure is the space enclosed in Square units to cover that figure completely. If we talk about how to find the area of a triangle, there are different ways for it.
Firstly, that the triangle is called as the half of the area of the Parallelogram, with in whose Parallel Lines, is the figure enclosed. This is the simplest of all the formulas. If we have h as the perpendicular distance between the two parallel lines, and b as the base of the parallelogram, then we write:
Area of the triangle = (base * height) / 2 = b * h /2,
Besides this the area of the triangle can be calculated using different ways. Some of the common methods for finding the area of the triangle are: Heron’s Formula, Picks Formula, Using Trigonometry, by use of vectors, by using coordinates and even by using line integrals. If we know all the sides of the triangle, then we say that Heron’s formula will help us to derive the area of the triangle. In this formula if we have ‘a’, ‘b’ and ‘c’ as the three line segments of the triangle, then we first find the value s = (a + b + c)/ 2.
Now by using the value of S, which we calculated above, we can calculate the area of the triangle as follows:
Area of the triangle = square root of (s * (s - a) * (s - b) * (s – c)).