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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.
Area = √3/4 × (side)2. In the given triangle ABC, Area of ΔABC = (√3/4) × (side) 2, where, AB = BC = CA = a units. Thus, the formula for the area of the above equilateral triangle can be written as: Area of equilateral triangle ΔABC = (√3/4) × a 2. Example: How to find the area of an equilateral triangle with one side of 4 units? Solution:
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.
4 days ago · 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.
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.
Aug 3, 2023 · Definition. Equilateral triangle is a figure where all three sides and angles are equal. Equilateral Triangle. Properties of an Equilateral Triangle. 1. All three sides are equal; in ∆ABC, sides AB = BC = CA. 2. All three angles are equal (equiangular), so ∠ABC = ∠BAC = ∠ACB = 60°. 3. There are three lines of symmetry. 4.
The formula to find the area of an equilateral triangle is very simple because we don’t need to know the base or the height of the triangle. The only thing we need is the measure of one side. That’s it!
5 days ago · Equilateral triangle area and height. The formula for a regular triangle area is equal to the squared side times the square root of 3 divided by 4: area = (a² × √3)/ 4. and the equation for the height of an equilateral triangle looks as follows: h = a × √3 / 2, where a is a side of the triangle.
Since the angles opposite equal sides are themselves equal, this means discovering two equal sides and any 60^ {\circ} 60∘ angle is sufficient to conclude the triangle is equilateral, as is discovering two equal angles of 60^ {\circ} 60∘.
