Regular triangle definition

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'equilateral triangle. Send us feedback about these examples. Accessed 24 Feb, regular triangle definition. Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!

In geometry, an equilateral triangle is a triangle whose all three sides are of equal length. The sides of an equilateral triangle are congruent, which means that all sides are of equal length. All the interior angles are equal 60 degrees too. So, a triangle with equal sides is known as an equilateral triangle. The traces of triangles can be found all over the world, especially in construction.

Regular triangle definition

In geometry, a triangle with all equal sides is said to be an equilateral triangle. If we break the word equilateral, here "equi" refers to equivalent and "lateral" refers to sides. An equilateral triangle is also called a regular polygon with three sides equal. In this article, we will learn about the equilateral triangle, properties of equilateral triangle and formulas of an equilateral triangle. An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60 degrees therefore, it is also known as an equiangular triangle. The equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal. The triangles are categorized into three different types based on their sides. They are isosceles triangle , scalene triangle, and equilateral triangle. The equilateral triangle is different from the isosceles and scalene triangle. An equilateral triangle has some properties which define a triangle as an equilateral triangle. Follow the below properties for the identification of an equilateral triangle. The formulas to find the area of an equilateral triangle and the perimeter of an equilateral triangle are mentioned below. The area of an equilateral triangle is the space covered by the triangle in a two-dimensional plane. The sum of all sides of an equilateral triangle is the perimeter of an equilateral triangle or three times of a side because all sides are equal in an equilateral triangle.

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An equilateral triangle is a triangle with all three sides of equal length , 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. An equilateral triangle also has three equal angles. The altitude of an equilateral triangle is. The inradius , circumradius , and area can be computed directly from the formulas for a general regular polygon with side length and sides,.

The equilateral triangle is a fascinating and significant geometric shape with a particular place in the geometry study. This specific triangle has three sides that are of the same length. The equilateral triangle differs from other kinds of triangles, which can have sides of varied lengths because of this special quality. This article will thoroughly explore the unique attributes, characteristics, and mathematical formulas intrinsic to the equilateral triangle. Our investigation will encompass an in-depth analysis of its structural elements, angle measurements , and the interplay between its sides.

Regular triangle definition

A triangle is a 3-sided polygon sometimes but not very commonly called the trigon. Every triangle has three sides and three angles, some of which may be the same. The sides of a triangle are given special names in the case of a right triangle , with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs. All triangles are convex and bicentric. That portion of the plane enclosed by the triangle is called the triangle interior , while the remainder is the exterior. The study of triangles is sometimes known as triangle geometry , and is a rich area of geometry filled with beautiful results and unexpected connections.

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View Result. So, a triangle with equal sides is known as an equilateral triangle. Equilateral Triangle In geometry, a triangle with all equal sides is said to be an equilateral triangle. The equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal. You see real learning outcomes. Regular polygon. Let us learn more in this article. In other projects. A version of the isoperimetric inequality for triangles states that the triangle of greatest area among all those with a given perimeter is equilateral. Commonly Misspelled Words. Our Journey.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards.

An equilateral triangle has some properties which define a triangle as an equilateral triangle. Q1: What is the perimeter of an equilateral triangle whose length of each side is 13 units? Read Edit View history. Explore math program. Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free! If any of the incenter, orthocenter or centroid coincide with the circumcenter of a triangle, then it is called an equilateral triangle. What type of polygon is an equilateral triangle? Download Now. Identify Triangles and Rectangles Game. Triangles and Rectangles Game. Equilateral Triangle Examples Example 1: Calculate the area of an equilateral triangle whose sides are 20 inches. The integer-sided equilateral triangle is the only triangle with integer sides , and three rational angles as measured in degrees. Therefore, it is also called an equiangular triangle , where each angle measure 60 degrees.