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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.
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 · 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.
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.
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!
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.
6 days ago · An equilateral triangle is a triangle with all three sides of equal length a, corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal.
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∘.
An equilateral triangle is also called an equiangular triangle since its three angles are equal to 60°. In an isosceles triangle, the base angles are congruent. Recall from above that an equilateral triangle is also an isosceles triangle. Since DE≅EF, the base angles, ∠D and ∠F, are congruent.
