Thursday, July 8, 2010

Triangle Vertice

Triangle Vertice:

From the vertices of the triangle we can calculate the distance of the two vertices of the triangle. By using the value of the side length we can calculate the area of the triangle using the formula,
A = sqrt[s(s - a)(s - b)(s - c)]
where,
s = (a + b + c)/2 and a,b,c are the length of the three sides of the triangle.
In case of right triangle we can calculate the sides of a triangle ABC using the Pythagoras theorem,
AC2 = AB2+BC2.
Triangle Vertices
Also the angle values using the relations,
Sin θ = opposite/hypotenuse
Cos θ = adjacent/ hypotenuse
Tan θ = adjacent/opposite.

In a equilateral triangle the height of triangle or altitude is the distance from one vertex to the mid point of the opposite side. It can be calculated by taking mid point of two sides and finding the distance between this point and the third vertex.
The formula for finding the distance between any two vertices (x1,y1), (x2,y2)of the triangle is given by,
Distance = √[(x2-x1)2+( y2-y1)2]

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