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.

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,.

Regular triangle definition

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. Just like other types of triangles , an equilateral triangle also has its area, perimeter and height formula. Let us learn more in this article. As we have already discussed in the introduction, an equilateral triangle is a triangle that has all its sides equal in length. Also, the three angles of the equilateral triangle are congruent and equal to 60 degrees. The sum of all three angles of an equilateral triangle is equal to degrees. Thus, it obeys the angle sum property of triangle. The shape of an equilateral triangle is regular. An equilateral triangle is also called a regular polygon or regular triangle since all its sides are equal. We have already understood an equilateral triangle has all three sides equal in length and all three angles equal in measure. Now based on these properties the formulas for equilateral triangles are defined. The most common formulas that we consider for a triangle are:.

It also forms two equivalent right-angled triangles. All Platonic solids can inscribe tetrahedra, as well as be inscribed inside tetrahedra.

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.

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. In , while studying the Brocard points of a triangle, Crelle exclaimed, "It is indeed wonderful that so simple a figure as the triangle is so inexhaustible in properties. How many as yet unknown properties of other figures may there not be? It is common to label the vertices of a triangle in counterclockwise order as either , , or , ,. The vertex angles are then given the same symbols as the vertices themselves.

Regular triangle definition

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. Due to the same length of its sides an equilateral triangle is also referred to as a regular polygon or regular triangle , owing to the equal length of its sides. It is classified as an equilateral triangle when all three sides and angles are congruent—specifically, each angle within an equilateral triangle measures precisely 60 degrees. Its angles are congruent , meaning they have the exact measurements, and all sides have identical lengths. Each angle in an equilateral triangle is precisely 60 degrees in length. Furthermore, the angle sum property of triangles holds, as the collective sum of these angles amounts to degrees.

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Need even more definitions? In both methods a by-product is the formation of vesica piscis. What will be the perimeter of an equilateral triangle, assuming that all its sides are 30 inches in length? Napoleon's theorem states that if three equilateral triangles are drawn on the legs of any triangle either all drawn inwards or outwards and the centers of these triangles are connected, the result is another equilateral triangle. What is the height of equilateral triangle? See All. In geometry , an equilateral triangle is a triangle in which all three sides have the same length. Our Team. Want to build a strong foundation in Math? Log In. Geometric construction of an equilateral consists of drawing a diameter of a circle and then constructing its perpendicular bisector. Denoting the radius of the circumscribed circle as R , we can determine using trigonometry that:. Send us feedback about these examples. In geometry, all the figures whether 2-D or a 3-D have certain specific formulas that are used to calculate the area, altitude, perimeter, and semi-perimeter.

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.

To find the centroid, we need to draw perpendiculars from each vertex of the triangle to the opposite sides. They are isosceles triangle , scalene triangle, and equilateral triangle. Example 3: What are the perimeter and semi perimeter of an equilateral triangle with side measurement as 12 units. Forum Geometricorum. Polygons List. Match Triangles and Squares Game. Watch Now. Maths Math Article Equilateral Triangle. What is the height of equilateral triangle? Your result is as below. What will be the perimeter and semi perimeter of an equilateral triangle whose side measurement is 10 units? Denoting the radius of the circumscribed circle as R , we can determine using trigonometry that:.