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Equilateral Triangle. In geometry, an equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.
Get the formulas for Area of Equilateral triangle, Perimeter and Semi-perimeter of Equilateral triangle, Altitude of Equilateral triangle with solved examples at BYJU'S.
The general formula for the area of a triangle whose base and height are known is given as: Area = 1/2 × base × height. While the formula to calculate the area of an equilateral triangle is given as, Area = √3/4 × (side)2. In the given triangle ABC, Area of ΔABC = (√3/4) × (side) 2, where, AB = BC = CA = a units.
Equilateral triangle is a triangle in which all sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60 degrees. Learn more about the equilateral triangle, properties, formulas along with solved examples.
Oct 4, 2024 · The height or altitude of an equilateral triangle is equal to √3a/2, where “a” is the side length of the triangle. It can be determined by using the Pythagorean formula. In the figure given below, ∆ABC is an equilateral triangle with equal sides that measures “a” unit.
An equilateral triangle is the one in which all sides of the triangle are equal and have equal angles measures. Equilateral triangle formulas are used to calculate the area, altitude, perimeter, and semi-perimeter of an equilateral triangle.
P = 3a is the basic formula for calculating the perimeter of an equilateral triangle, where 'a' denotes one of the triangle's sides. The sum becomes a + a + a = 3a since all three sides of an equilateral triangle are equal. Height = √3a/ 2. Semi perimeter = (a + a + a)/2 = 3a/2.