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.
Following are the most important and common examples of the equilateral triangles for the kids so that they can learn the practical implementation of the formula of equilateral triangle perfectly and can have a fear that idea about the whole thing. Also Check –Importance of Career Counseling For Students
The Bermuda Triangle
This is also known as the devil’s triangle and is an Equilateral triangle into the Atlantic Ocean where more than 50 ships and 20 aircraft have been mysteriously disappeared.
Traffic signboards or another very important example of equilateral triangle shape in everyday life for the kids so that they can have a clear cut idea about all the three sides of equal length and equal angle along with calculation of the area which will make their concepts very clear academically.
These are the ancient monuments that have been constructed by Egyptians and are in the shape of an equilateral triangle so that kids can very easily correlate the concepts with such examples.
Almost every kind of sailing boat also has a triangular sail and such ships make it very much possible to travel against the wind with the help of a technique called taking. This will make the boat move forward and this is a very good example of the equilateral triangle for the kids.
The roofs of the houses can also be made into a triangular shape and this will be another example for equilateral triangle so that kids can become very much clear in terms of concepts associated with all these things.
Staircase and ladder
The construction of the staircase will also include different kinds of right angles and calculation of the area by implementation of the formula of an equilateral triangle so that construction has been accurately carried out and everything has been undertaken at the right angles.
The sandwich and pizza slice is another very important example of the equilateral triangle for the kids because it will be very much appealing for them to learn things such practically and sandwiches are also referred by children into different shapes so that they can have a good command over mathematics. Also Read – Mastering Writing Skills: 8 Tips from Research Paper Editors
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.