Wednesday, June 2, 2010

Triangle and its Relations

A triangle is a three sided geometric polygon with three sides and angles. In some of the triangles of every one of the faces will be equal area which is known as the equilateral triangle. In right angle triangle the longest side is named as the hypotenuse and the other two sides be opposite side and adjacent side. All the triangles are biocentrism and convex. This area is known as the interior area of the triangle and the remaining portion is known as the exterior. The center of triangle can be found by intersection of three internal angle bisectors.
The triangle has following relations:
1. Circumcenter:
In the triangle relations circumcenter defined as a center of the circle where the three perpendicular bisectors intersect with each other.
2. Incenter:
Incenter is the point where the single bisectors intersect. In these triangle relations are the center of the circle that fits exactly inside the triangle.
3. Altitude:
Other one triangle relations altitudes is the "height" a segment that starts at a vertex and is perpendicular to the opposite side.
4. Median:
The triangle relations, such as median is known as the measure of distance between the midpoint of one side and the vertex of the opposite angle.
5. Angle bisector:
Angle bisector of triangle relations are nothing but the perpendicular bisector which cuts the given angle in to two equal half. The angle formed by this will equal.
6. Perpendicular bisector:
It cuts a segment in to equal half at a 90 degree angle, when the circumcenter is on the hypotenuse the circumscribe is outside of the triangle.
7. Pythagoras theorem:
Another important triangle relations of Pythagoras theorem is defined by that the square of the hypotenuse of the right angle triangle is equal to the sum of the square of the sides of the triangle. It can be applicable only in right angled triangles. By using this we can be able find the missing values. Suppose we know the value of two side of the triangle then we can be able to find the value of third side by using the Pythagoras theorem.




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