A Brief Note On The Properties And Formulas Of Equilateral Triangle

An equilateral triangle is a triangle with all of its sides equal in length. Because the 3 sides are equal, the three angles opposing the equal sides are also equal in size. As a result, it is also known as an equiangular triangle, with each angle measuring 60 degrees. An equilateral triangle, like other kinds of triangles, has an area, perimeter, and height formula.

Definition Of An Equilateral Triangle

As stated in the beginning, an equilateral triangle is one with all of its sides being the same length. In addition, the equilateral triangle’s three angles are equal and equal to 60 degrees. The total of an equilateral triangle’s three angles equals 180 degrees. 180° = 60° + 60° + 60° As a result, it obeys the triangle’s angle sum property.

Equilateral Triangle Form

An equilateral triangle has a regular form. The term ‘Equilateral’ is derived from the combining of two words: “Equi” (equal) and “Lateral” (sides). Because all of its sides are equal, an equilateral triangle is also known as a regular polygon or normal triangle.

Assume ABC is an equilateral triangle, then, according to the definition;

AB = BC = AC, where AB, BC, and AC are the equilateral triangle’s sides.

And

A = B + C = 60°

There are two different sorts of triangles based on their sides:

Triangle of Scalene

Triangular Isosceles

Equilateral Triangle Properties

Each of the three sides is the same size.

Each of the three angles equals 60 degrees and is congruent.

It is a regular polygon with three sides.

The perpendicular drawn from the vertex of the equilateral triangle to the opposite side divides it into equal halves. Furthermore, the angle created by the perpendicular’s vertex is divided into two equal angles of 30 degrees each.

The ortho-centre and centroid are situated around same place.

All sides of an equilateral triangle have the same median, angle bisector, and height.

Formulas For Equilateral Triangles

We already know that an equilateral triangle has three sides that are all the same length and three angles that are all the same size. The formulae for equilateral triangles are now developed based on these features. The following are the most frequent triangle formulas:

Equilateral triangle area

Equilateral triangle perimeter

Equilateral triangle height

Conclusion

We have learned about A Brief Note on the Properties and Formulas of Equilateral Triangle, area of an equilateral triangle, equilateral triangle, the perimeter of an equilateral triangle, and all other topics related to Properties and Formulas of Equilateral Triangle.

An equilateral triangle has sides that are of the same length. Furthermore, the equilateral triangle’s three angles are congruent and equal to 60 degrees. The sum of all three angles of an equilateral triangle equals 180 degrees. 180° = 60° + 60° + 60° As a result, it obeys the angle sum property of triangles.