We will thus calculate the height of an equilateral triangle in terms of the side length. To do so, we require the length of each side and the height of the equilateral triangle. The formula used to calculate the area of an equilateral triangle can be derived using the general area of the triangle formula. Using the general area of a triangle formulaĭeriving Equilateral Triangle's Area Using Area of Triangle Formula.The above formula to find the area of an equilateral triangle can be derived in the following ways: The formula to calculate the area of an equilateral triangle is given as,Īrea of an equilateral triangle = (√3/4) × a 2 square unitsĪ = Length of each side of an equilateral triangle So, an equilateral triangle’s area can be calculated if the length of one side is known. In an equilateral triangle, all the sides are equal and all the internal angles are 60°. Therefore, the area of the equilateral triangle (√3/4) × 4 2 = 4√3 square units. We will substitute the values of the side length. Using the area of equilateral triangle formula: (√3/4) × a 2 square units, Thus, the formula for the area of the above equilateral triangle can be written as:Īrea of equilateral triangle ΔABC = (√3/4) × a 2 square unitsĮxample: How to find the area of an equilateral triangle with one side of 4 units? In the given triangle ABC, Area of ΔABC = (√3/4) × (side) 2 square units, where, AB = BC = CA = a units (the length of equal sides of the triangle). While the formula to calculate the area of an equilateral triangle is given as, The general formula for the area of a triangle whose base and height are known is given as: But, finding the area of an equilateral triangle is quite an easy calculation. In a general triangle, finding the area of a triangle might be a little bit complicated for certain reasons. For the equilateral triangle, we have the formula for its area. Calculating areas of any geometrical shape is a very important skill used by many people in their work. The equilateral triangle area formula is used to calculate the space occupied between the sides of the equilateral triangle in a 2D plane.
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