![]() ![]() ![]() The formula for the area of an equilateral triangle comes out from the general formula of the area of the triangle which is equal to ½ × base × height. We will 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 2Ī = 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, Thus, the formula for the area of the above equilateral triangle can be written as:Īrea of equilateral triangle ΔABC = (√3/4) × a 2Įxample: 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, where, AB = BC = CA = a units 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: However, finding the area of an equilateral triangle is comparatively easier. Finding the area of a scalene triangle or an isosceles triangle involves a few extra steps and calculations. Calculating areas of any geometrical shape is a very important skill used by many people in their work. Therefore, the perimeter of the triangle is 12.The equilateral triangle area formula is used to calculate the space occupied between the sides of the equilateral triangle in a 2D plane. In this case you would add 3 + 4 + 5 and get 12. Finally, add all of the side lengths together to find the perimeter. Therefore, the length of the unknown side is 5. Then, you would take the square root of 25 to find c, which is 5. For example, if the length of the known sides are 3 and 4, you would just add 3^2+ 4^2, or 9 + 16, and get 25. Just use the Pythagorean theorem, which is a^2+ b^2 = c^2, where a and b are the lengths of the known sides and c is the length of the unknown hypotenuse. If you only know the length of 2 of the triangle’s sides, you can still find the perimeter if it’s a right triangle, which means the triangle has one 90-degree angle. Therefore, the perimeter of the triangle is 15. For example, if the length of each side of the triangle is 5, you would just add 5 + 5 + 5 and get 15. To find the perimeter of a triangle, use the formula perimeter = a + b + c, where a, b, and c are the lengths of the sides of the triangle. ![]()
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