Question

find the area of a rhombus whose both diagonal are 8cm and 12 cm​

Answer 1

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Answer 2

Answer ::

• The area of rhombus is 48cm².

Step-by-step explanation ::

To Find :-

• The area of rhombus

Solution :-

Given that,

• The two diagonals of the rhombus are 8cm and 12cm

Let us assume the diagonals as d₁ and d₂.

As we know that,

Area of rhombus = 1/2 × d₁ × d₂

Where,

• d₁ and d₂ are the two diagonals of rhombus.

According the question,

➠ Area of rhombus = 1/2 × d₁ × d₂

➠ Area = 1/2 × 8 × 12

➠ Area = 1 × 4 × 12

➠ Area = 48

The area of rhombus is 48cm².

Additional information

Some more information related to rhombus :-

• Perimeter of rhombus = 4 × side

We can find out the area of rhombus in three ways :-

Using diagonals :-

• Area of rhombus = 1/2 × d₁ × d₂

Using base and height :-

• Area of rhombus = base × height

Using trinogeometry :-

• Area of rhombus = b² × sin ( a )