An equilateral triangle in the mathematics can be defined as the triangle which has all the 3 sides of the equal length. This is the general definition but in the traditional or we can say the Euclidean type of the geometry, the equilateral triangles are also those triangles which are equiangular which means that all the 3 internal angles of the triangle are congruent to each other like the 3 sides and each angle is equal to 60 degrees. The equilateral triangles are the regular polygons and thus they can also be known as the regular triangles.
According to the definition of the equilateral triangles we can derive many results. Suppose the length of each side of any equilateral triangle is l then we can derive various results for this triangle with the help of the Pythagorean theorem which may be given as follows. (know more about Equilateral Triangle, here)
The area of any triangle which is equilateral may be calculated by the formula A = ( √3/4 ) * l2. The perimeter of any such triangle which is equilateral is equal to thrice the length of any side of the triangle that is P = 3l. Also the height or we can say the altitude from any side of the equilateral triangle is given by h = ( √3/2 ) * l.
We can also derive some of the results for the inscribed and the circumscribed circles of the equilateral triangles. For example the radius of the circumscribed circle of any triangle which is equilateral may be given as R = ( √3/3 ) * l. Then the radius of the inscribed circle of any triangle which is equilateral may be given as r = ( √3/6 ) * l.
In order to get more help on the topics: Equilateral Triangle and Rutherford Atomic Theory you can visit our next article. CBSE Syllabus 2013 is designed in a manner to help students in learning important topics in a very simpler way.
According to the definition of the equilateral triangles we can derive many results. Suppose the length of each side of any equilateral triangle is l then we can derive various results for this triangle with the help of the Pythagorean theorem which may be given as follows. (know more about Equilateral Triangle, here)
The area of any triangle which is equilateral may be calculated by the formula A = ( √3/4 ) * l2. The perimeter of any such triangle which is equilateral is equal to thrice the length of any side of the triangle that is P = 3l. Also the height or we can say the altitude from any side of the equilateral triangle is given by h = ( √3/2 ) * l.
We can also derive some of the results for the inscribed and the circumscribed circles of the equilateral triangles. For example the radius of the circumscribed circle of any triangle which is equilateral may be given as R = ( √3/3 ) * l. Then the radius of the inscribed circle of any triangle which is equilateral may be given as r = ( √3/6 ) * l.
In order to get more help on the topics: Equilateral Triangle and Rutherford Atomic Theory you can visit our next article. CBSE Syllabus 2013 is designed in a manner to help students in learning important topics in a very simpler way.
No comments:
Post a Comment