Properties of Equilateral Triangle
An equilateral triangle is one triangle in which all three sides are equal. For an equilateral triangle PQR, PQ = QR = RP. A few important properties of an equilateral triangle are:
- All three sides are equal in an Equilateral Triangle.
- In an equilateral triangle, all three internal angles are equal to each other and their value is 60°.
- For an equilateral triangle, the median, angle bisector, and perpendicular all are the same.
- Ortho-centre and centroid of an equilateral triangle are the same points.
- In an equilateral triangle, there are three lines of symmetry and also 3rd order rotational symmetry as well.
- Area of an equilateral triangle is √3 a2/ 4.
- Perimeter of an equilateral triangle is 3a.
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Area of Equilateral Triangle
The area of an equilateral triangle is the amount of space enclosed within its three equal sides. For an equilateral triangle, where all three sides and all three internal angles are equal (each angle measuring 60 degrees), the area can be calculated using the formula [Tex]\frac{\sqrt{3}}{4}\times a^{2}[/Tex] where a is length of a side of Equilateral Triangle. An equilateral triangle is a triangle whose all side is equal to 60°.
Area of Equilateral Triangle
In simple words, Area of an equilateral triangle is the space occupied by an equilateral triangle. Let’s know more about Area of Equilateral Triangle with formula, proof and examples.
Table of Content
- Area of Equilateral Triangle
- Area of Equilateral Triangle Formula
- Area of Equilateral Triangle Formula Proof
- Derivation of Area of Equilateral Triangle using Trigonometry
- Properties of Equilateral Triangle
- Solved Examples on Area of Equilateral triangle