Arithmetic
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Algebraic Equation
Algebraic Expression
Cartesian System
Linear Equations
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
Home >> Rectangle >> Diagonals of Rectangle >>

## Diagonals of rectangle

 Area of Rectangle Perimeter of Rectangle Diagonals of Rectangle Difference & Similarity between Square & Rectangle

What is Rectangle ?

There are two properties of diagonals of Rectangle

• Diagonals of Rectangle are equal.
• Diagonals of Rectangle bisect each other.

Diagonals of Rectangle are equal

This property explains that length of diagonals of a rectangle is equal
So, if we know the length of one diagonal, length of other can be calculated.

Example 1: In the following diagram of rectangle ABCD, diagonal AC = 5 cm. Find length of other diagonal BD.

Solution: In the given rectangle ABCD:
AC = 5 cm (given)

Since, diagonals in rectangle are equal, so we get:
AC = BD

Put Value of AC (given) and we get:
5 cm = BD

Or we can write it as
BD = 5 cm

Hence, length of other diagonal BD is 5 cm

Diagonals of Rectangle bisect each other

This property explains that diagonals of rectangle bisect each other at the intersecting point.
In simple words, we can say that:
Diagonals of rectangle divide into half at the point of intersection

Example 2: Observe the following diagram:

In the above diagram of Rectangle ABCD:
AC and DB are two diagonals
AC = DB = 7 cm

Both diagonals AC and DB intersect at point O
Since the diagonals of rectangle bisect each other at the intersecting point, so we get:
AO = OC = Half of AC
Since AC = 7 cm, so we get
AO = OC = 3.5 cm

Similarly,
DO = OB = 3.5 cm