Regular triangle definition

An equilateral triangle is a triangle with all three sides of equal lengthcorresponding to what could also be known as a "regular" triangle.

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.

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.

In three dimensions, equilateral triangles form faces of regular and uniform polyhedra.

In geometry , an equilateral triangle is a triangle in which all three sides have the same length. It is also a regular polygon , so it is also referred to as a regular triangle. Denoting the radius of the circumscribed circle as R , we can determine using trigonometry that:. Many of these quantities have simple relationships to the altitude "h" of each vertex from the opposite side:. In an equilateral triangle, the altitudes, the angle bisectors, the perpendicular bisectors, and the medians to each side coincide.

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

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 —. Triangles can be classified based on the length of the sides or their angle measurements. To classify triangles according to their angles, we measure each of their interior angles. Triangles can be classified by angles, as:.

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Definition of Equilateral Triangle In geometry, an equilateral triangle is a triangle whose all three sides are of equal length. The area of an equilateral triangle is the space covered by the triangle in a two-dimensional plane. The shape of an equilateral triangle is regular. An equilateral triangle is easily constructed using a straightedge and compass , because 3 is a Fermat prime. The proof that the resulting figure is an equilateral triangle is the first proposition in Book I of Euclid's Elements. What type of polygon is an equilateral triangle? Types Of Polygon. A triangle that has all its sides equal in dimension and each angle measure up to 60 degrees, is called an equilateral triangle. Article Talk. So, a triangle with equal sides is known as an equilateral triangle. There are infinitely many solutions for which , , and are integers. What is an equilateral triangle? In no other triangle is there a point for which this ratio is as small as 2.

The equilateral triangle is a fascinating and significant geometric shape with a particular place in the geometry study.

There are numerous other triangle inequalities that hold with equality if and only if the triangle is equilateral. Decimal To Hex. Definition of Equilateral Triangle In geometry, an equilateral triangle is a triangle whose all three sides are of equal length. Our Journey. Weisstein, Eric W. Post My Comment. Let any rectangle be circumscribed about an equilateral triangle. Example 2: What is the perimeter of an equilateral triangle whose sides are 40 inches. Share the Definition of equilateral triangle on Twitter Twitter. Square Root Tricks. The area of an equilateral triangle can be found by using the formula of the area of an equilateral triangle.