Area of Equilateral Triangle

The area of an equilateral triangle is the amount of space enclosed within its three equal sides of an Equilateral Triangle. It is measured in square units. Area of an equilateral depends upon the length of a side of an equilateral triangle. Let’s learn the formula used to define the area of an equilateral triangle.

Examples of Equilateral Triangle

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

Similar Reads

Area of Equilateral Triangle

The area of an equilateral triangle is the amount of space enclosed within its three equal sides of an Equilateral Triangle. It is measured in square units. Area of an equilateral depends upon the length of a side of an equilateral triangle. Let’s learn the formula used to define the area of an equilateral triangle....

Area of Equilateral Triangle Formula

Area of an equilateral triangle is the space occupied between the sides of the equilateral triangle in a plane. Below is the formula for finding the area of a triangle whose base and height are given is...

Area of Equilateral Triangle Formula Proof

Let’s calculate the area for a given equilateral triangle of side a. It is known that the area of a triangle is given as 1/2 × Base × Height....

Derivation of Area of Equilateral Triangle using Trigonometry

Suppose the sides of a triangle are given, then the height can be calculated using the sine formula. Let the sides of a triangle ABC be a, b, and the angle corresponding to them be A, B, and C. Now, the height of a triangle is...

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:...

Solved Examples on Area of Equilateral triangle

Example 1: Find the area of the triangle whose all sides measure 4 units....

Area of Equilateral Triangle – FAQs

What is Equilateral Triangle?...

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