Regular triangle definition

In geometry, an equilateral triangle is a triangle that has all its sides equal in length.

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.

Regular triangle definition

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 areas of the incircle and circumcircle are. Central triangles that are equilateral include the circumnormal triangle , circumtangential triangle , first Morley triangle , inner Napoleon triangle , outer Napoleon triangle , second Morley triangle , Stammler triangle , and third Morley triangle. An equation giving an equilateral triangle with is given by. Geometric construction of an equilateral consists of drawing a diameter of a circle and then constructing its perpendicular bisector. Bisect in point , and extend the line through. The resulting figure is then an equilateral triangle. An equilateral triangle may also be constructed from the intersections of the angle trisectors of the three interior angles of any triangles Morley's theorem. 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 an Equilateral Triangle 2.

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. The ancient Egyptians were fond of them. The faces of the famous Pyramids of Egypt are triangular.

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.

Regular triangle definition

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 areas of the incircle and circumcircle are. Central triangles that are equilateral include the circumnormal triangle , circumtangential triangle , first Morley triangle , inner Napoleon triangle , outer Napoleon triangle , second Morley triangle , Stammler triangle , and third Morley triangle.

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Can you solve 4 words at once? An equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal. Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free! For some pairs of triangle centers, the fact that they coincide is enough to ensure that the triangle is equilateral. Multiplication Tables. The smallest equilateral triangle which can be inscribed in a unit square left figure has side length and area. What is the perimeter of an equilateral triangle? Gardner , pp. All the interior angles are equal 60 degrees too. You can know that a triangle is equilateral by measuring its sides.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

The Words of the Week - Feb. The centroid of the equilateral triangle lies at the center of the triangle. About Us. The triangles are categorized into three different types based on their sides. Weisstein, Eric W. Types Of Polygon. The formulas to find the area of an equilateral triangle and the perimeter of an equilateral triangle are mentioned below. Then find the excentral triangle of that triangle, and so on. The three properties of an equilateral triangle are: All three sides are equal. What do we mean by equilateral? You know that the perimeter of an equilateral triangle is 3 times the side length. Answer Questions Related to Triangles Game. An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle. As these triangles are equilateral, their altitudes can be rotated to be vertical. The sum of all three angles of an equilateral triangle is equal to degrees.