What is a equilateral in geometry?

What is a equilateral in geometry?

1 : having all sides equal an equilateral triangle an equilateral polygon — see triangle illustration. 2 : having all the faces equal an equilateral polyhedron.

What is the best definition of equilateral?

A triangle with all three sides of equal length.

How do you define an equilateral triangle?

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.

What does equiangular mean in geometry?

angles are equal
The term equiangular indicates that, in some figures, the angles are equal. It can be used to describe polygons, such as an equiangular pentagon. The fact that the angles of a figure are congruent does not automatically mean that the sides are.

Why is area of equilateral triangle?

The area of an equilateral triangle is √3/4 times (side)2 of the equilateral triangle and the perimeter of an equilateral triangle is 3 times of a side of the equilateral triangle.

What does equilateral triangle look like?

An equilateral triangle is a 3-sided polygon (enclosed shape) that whose sides are all congruent (equal in length). An equilateral triangle also has 3 congruent angles, all 60˚ in measure.

Is a rhombus an equilateral?

In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. A rhombus with right angles is a square.

What is an example of an equilateral?

In geometry, an equilateral triangle is a triangle that has all its sides equal in length. For example, a triangle with its three sides equal to 5cm is an equilateral triangle. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure.

How many sides are equal in equilateral triangle?

three sides
In geometry, an equilateral triangle is a triangle in which all three sides have the same length….

Equilateral triangle
Area
Internal angle (degrees)	60°

What is an equiangular figure called?

In Euclidean geometry, an equiangular polygon is a polygon whose vertex angles are equal. If the lengths of the sides are also equal (that is, if it is also equilateral) then it is a regular polygon. Isogonal polygons are equiangular polygons which alternate two edge lengths.

Are equiangular triangles always equilateral?

Every equilateral triangle is also an isosceles triangle, so any two sides that are equal have equal opposite angles. Therefore, since all three sides of an equilateral triangle are equal, all three angles are equal, too. Hence, every equilateral triangle is also equiangular.

What is a formula of area of equilateral triangle?

We then apply the formula for the area of a triangle, which is 1/2 * b * h. We get 1/2 * 10 * 5√3 = 5 * 5√3 = 25√3. In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.

What is the definition of equilateral in math?

equilateral – a figure whose sides are all equal figure – a combination of points and lines and planes that form a visible palpable shape equal – having the same quantity, value, or measure as another; “on equal terms”; “all men are equal before the law”

What is the formula for the area of an equilateral?

If we know the side of an Equilateral Triangle then, we can calculate the area of an Equilateral Triangle using below formula. Area = (√3)/4 * s² (S = Any side of the Equilateral Triangle) Perimeter is the distance around the edges.

Is the triangle PQR equilateral?

Given : Triangle PQR is an equilateral triangle . All sides are equal. All angle angles of equilateral triangle are equal and have measure 60° . Hence, the value of x= 9 and y= 12. Step-by-step explanation: Set each side equal to 49, so 3x+1=49 and 18y-41=49.

Are all triangles equilateral?

A triangle is equilateral if and only if any three of the smaller triangles have either the same perimeter or the same inradius. A triangle is equilateral if and only if the circumcenters of any three of the smaller triangles have the same distance from the centroid.