Regular triangle definition

In geometry, regular triangle definition, 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.

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.

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.

Categories : Types of triangles Constructible polygons.

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. Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free! See Definitions and Examples ». Cite this Entry Citation Share. Log In.

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.

Regular triangle definition

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. The above figures are non-examples of triangles. These shapes cannot be called triangles as —.

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Tools Tools. The traces of triangles can be found all over the world, especially in construction. The circumcenter of equilateral triangle is the point of intersection perpendicular bisectors of the sides. Geometries and Transformations 1st ed. The figure has three lines of symmetry. Q8 What is the perimeter of equilateral triangle with side equal to 10cm? Cambridge: Cambridge University Press. The area of an equilateral triangle can be found by using the formula of the area of an equilateral triangle. Maths Program. In this article, we will learn about the equilateral triangle, properties of equilateral triangle and formulas of an equilateral triangle. Learn Equilateral Triangle with tutors mapped to your child's learning needs. If they are of equal lengths, then the triangle is equilateral. Thus, it obeys the angle sum property of triangle. Can you solve 4 words at once? Your Mobile number and Email id will not be published.

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.

There are numerous other triangle inequalities that hold with equality if and only if the triangle is equilateral. Parents, try for free Teachers, use for free. In three dimensions, equilateral triangles form faces of regular and uniform polyhedra. What is the different name of triangles based on sides? Therefore, it is also called an equiangular triangle , where each angle measure 60 degrees. Start Quiz. Q8 What is the perimeter of equilateral triangle with side equal to 10cm? 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. All triangles have 3 sides only. The largest equilateral triangle which can be inscribed right figure is oriented at an angle of and has side length and area. There are infinitely many solutions for which , , and are integers. Want to build a strong foundation in Math? Honsberger, editor. An equilateral triangle is also called a regular polygon with three sides equal.