Math, asked by avdheshmeena028, 6 months ago

what is the formula of rhombus​

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Answered by sanjusahani031
0

Answer:

hope its help you mate

Step-by-step explanation:

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Answered by zanu3060aassoo
0

What is the Area of a Rhombus?

The area of a rhombus can be defined as the amount of space enclosed by a rhombus in a two-dimensional space. To recall, a rhombus is a type of quadrilateral projected on a two dimensional (2D) plane, having four sides that are equal in length and are congruent. It is also known as equilateral quadrilateral because all its four sides are equal in nature.

Area of Rhombus Formula

Different formulas to find the area of a rhombus are:

Formulas to Calculate Area of Rhombus

Using Diagonals A = ½ × d1 × d2

Using Base and Height A = b × h

Using Trigonometry A = b2 × Sin(a)

Where,

d1 = length of diagonal 1

d2 = length of diagonal 2

b = length of any side

h = height of rhombus

a = measure of any interior angle

Derivation for Rhombus Area Formula

Consider the following rhombus:

Area of a Rhombus Derivation

Let O be the point of intersection of two diagonals.

The area of the rhombus will be:

A = 4 × area of ∆ AOB

= 4 × (½) × AO × OB sq. units

= 4 × (½) × (½) d1 × (½) d2 sq. units

= 4 × (1/8) d1 × d2 square units

= ½ × d1 × d2

Therefore, Area of a Rhombus = A = ½ × d1 × d2

Where d1 and d2 are the diagonals of the rhombus.

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