What makes a equilateral
Some of these shapes have equal side lengths while some have equal angles; some of them are made up of straight lines while some have curves. In this page, we will understand the meaning of equilateral by using different polygons that have equal side lengths. The word equilateral is made up of two words, "equi" which means equal and "lateral" which means sides. Equilateral is defined as any shape which has all its sides equal.
We know that polygons are shapes that are made up of straight line segments , and a triangle is a polygon with the minimum number of sides. Now, if the side lengths of the polygons are equal, we call them equilateral shapes. Let's explore these equilateral shapes and their properties in detail now. The figure given above shows that triangle PQR is an equilateral triangle. It should be noted that all the angles of this triangle are also equal.
An equilateral quadrilateral is a polygon with 4 equal sides and it is called a rhombus. The figure given below shows that rhombus PQRS is an equilateral quadrilateral. We cannot say that all the angles of an equilateral quadrilateral are equal. A square is a special case of equilateral quadrilateral in which all the four angles are equal. Thus, it can be said that if a quadrilateral is equilateral and equiangular, it is a square.
An equilateral pentagon is a polygon with 5 equal sides. The interior angles of an equilateral pentagon may or may not be equal. The special case of an equilateral pentagon in which all the five angles are also equal is called a regular pentagon.
Example 1: Tim draws an equilateral triangle and measures one of the sides of the triangle to be 10 units. If the other two sides are of lengths 2x - 6 and 3y - 2 , find the values of x and y. An equilateral parallelogram is known as a rhombus. No, an equilateral triangle is not a rhombus.
An equilateral triangle is a 3-sided polygon while a rhombus is a 4-sided polygon. Yes, all regular polygons are equilateral. A regular triangle is called an equilateral triangle, and a regular quadrilateral is called a square. Yes, a square is an equilateral quadrilateral with all four sides equal and all four angles equal. Equilateral figures are the figures with equal side lengths.
Equiangular figures are the figures with equal angles. Yes, an equilateral triangle has equal angles. 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.
The equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal. The triangles are categorized into three different types based on their sides. They are isosceles triangle , scalene triangle, and equilateral triangle. The equilateral triangle is different from the isosceles and scalene triangle.
An equilateral triangle has some properties which define a triangle as an equilateral triangle. Follow the below properties for the identification of an equilateral triangle.
The formulas to find the area of an equilateral triangle and the perimeter of an equilateral triangle are mentioned below. The area of an equilateral triangle is the space covered by the triangle in a two-dimensional plane.
The sum of all sides of an equilateral triangle is the perimeter of an equilateral triangle or three times of a side because all sides are equal in an equilateral triangle. Check out these interesting articles to know more about Equilateral Triangle and its related topics.
Example 1: Calculate the area of an equilateral triangle whose sides are 20 inches. Example 2: What is the perimeter of an equilateral triangle whose sides are 40 inches. An equilateral triangle is a triangle in which all sides are equal and angles are also equal.
An equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal. An equilateral triangle is considered as a regular polygon or a regular triangle as its angles and sides are equal. The sum of all the angles of an equilateral triangle is equal to degrees. 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.
Similarly, an equilateral triangle has the below-listed formulas:.
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