The area of the equilateral triangle will be the space occupied by it into the two-dimensional plane. The equilateral triangle is a triangle that includes all sides of equal length and every measure of the internal angle will be 60°. So, the area of equilateral triangle can be calculated with the help of a comprehensive formula which has been explained as follows:
The area of an equilateral triangle is equal to root 3/4 into side square
There are different kinds of methods of deriving the formula of area of equilateral and different kinds of methods are based upon deriving with the help of basic triangle formula, utilisation of the rectangle construction and with the help of trigonometry. There is no need for the students to indulge in comprehensive derivation because they can simply depend upon the utilisation of formula whenever the area of the equilateral triangle has to be carried out. There are different kinds of triangles for example equilateral triangles, Isosceles triangles and scalene triangles but the equilateral will be the one which has all sides equal and every angle at 60°.
Following are the most important properties of the equilateral triangles which the students need to be aware of so that they can implement the area of the equilateral triangle formula perfectly and can reach the right kind of answers in a very simplified.
- The equilateral triangle will be a triangle in which all the 3 sides will be equal.
- The equilateral triangle will always be referred to as equiangular because it will make sure that every internal angle will be of equal measure and will be 60° each.
- This is a regular polygon with three equal sides
- The equilateral triangle is the one if only circumcentres of any of the three smaller triangles at the same distance from the centroid.
- The ortho-centre and centroid of the triangle will be the same point.
- In the cases of the equilateral triangle the median, the angle bisector and the altitude of all the sides will be the same and are the lines of symmetry will be the equilateral triangle.
- The perimeter of the equilateral triangle will be three into sides
Calculation of the area of an equilateral triangle is a very important topic to be mastered by the students because this is a very common question in the examination that will allow the students to fetch good marks very easily. The students only need to apply a single formula so that they can reach an accurate answer without any kind of extraordinary efforts and hassle in the whole process. Derivation of this particular formula is also very easy but students normally should depend upon utilisation of formula only so that they can simplify the whole process of calculating the area of equilateral triangle very efficiently.
Apart from this particular type of formula, it is also very much important for the students to have a clear-cut idea about different other kinds of triangles and the formula associated with their area as well as perimeter so that they do not face any kind of problem in the examination. Also, it is the responsibility of the parents to enrol their children on the right kind of platforms like cuemath.com where they will be teaching the students about every aspect associated with the equilateral triangle including the area, perimeter and several other kinds of things so that they never have to face any kind of hassle throughout the examination and can fetch very good marks without any kind of problem. This will further allow the students to become masters of the subject of mathematics because they will be clearing the doubts side-by-side and with the help of experts from the house of Cuemath the students will be able to develop a good amount of interest in the world of mathematics that will further provide them with several kinds of advantages in the long run and they will be having a good command over the subject.