# Sides of Equal Length - Definition, Shapes, Examples, Facts (2023)

## Sides of Equal Length – Introduction

Mathematics is not just about numbers, it also includes the study of different shapes like circles, squares, ovals, cylinders, triangles, rectangles, and many more.

It involves finding the measurement of sides or the accurate angles of the shapes.

Today, we will discuss shapes that have sides of equal length. We will learn the factors that make them different from each other and their respective names. Let’s get started!

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## What Are Sides of Equal Length?

Sides of equal length mean that they measure the same. In simple words, the sides of a shape that have the same length are the sides of equal length.

Sides that are equal in length are also known as congruent sides. These sides could be part of one single shape or different shapes. Let’s see some examples of figures with sides of equal lengths.

In the rectangle below, the opposite sides are congruent to each other.

In the two triangles below, the sides are congruent to each other.

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## Sides of Equal Length in One Shape

### Triangles

Based on the length of the sides, triangles can be categorized as scalene, isosceles, and equilateral triangles.

• Scalene triangle:

It is a triangle in which each side is of a different length.

• Isosceles triangle:

It is a triangle in which two sides are of equal length. The angle falling between the equal sides is known as the vertex angle. The angles opposite to the two equal sides of a triangle will always be equal. Similarly, if two angles of a triangle are equal, then their corresponding opposite sides will also be of equal length.

• Equilateral triangle:

It is a triangle in which all three sides are of equal length. Each angle of an equilateral triangle measures 60°. Hence, it is also termed an equiangular triangle.

So, triangles with equal sides could either be isosceles or equilateral.

3

### Which of the following quadrilaterals are regular polygons?

Rectangle

Square

Kite

Rhombus

CorrectIncorrect

A regular polygon has all sides equal and all angles equal. A square is the only quadrilateral with equal sides and equal angles.

4

### Identify the shape that does not have all equal sides.

Equilateral triangle

Rhombus

Rectangle

Regular Pentagon

CorrectIncorrect

In a rectangle, the adjacent sides are of different lengths, and the opposite sides are equal.

(Video) Fill in the blanks | A square has _____ sides and ______- angles

No, congruent shapes must have sides of equal length.

Yes, if the sides are equal but the angles are different, or only two or some of the sides are equal, it will be an irregular polygon. For example, a rhombus has equal sides but different angles.

No, for triangles to be congruent, all its sides and angles must be equal.

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