Question

the area of rhombus is 120 cm² and one of the diagonals is 8cm.find the area of other diagonal​

Answer 1

Step-by-step explanation:

Another diagonal

= 120/4 cm

=30 cm

Hope it will help you..

Answer 2

Answer:

The length of the other diagonal is 30 cm.

Step-by-step-explanation:

We have given that,

Area of a rhombus is 120 cm² and its one diagonal is 8 cm long.

We have to find the length of the other diagonal.

Now, we know that,

Area of rhombus = ( Product of diagonals ) / 2

⇒ A = ( d₁ * d₂ ) / 2

⇒ 2 A = d₁ * d₂

⇒ 2 A / d₁ = d₂

⇒ d₂ = ( 2 * 120 ) / 8

⇒ d₂ = 2 * 120 ÷ 8

⇒ d₂ = 2 * 15

⇒ d₂ = 30 cm

∴ The length of the other diagonal is 30 cm.

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Additional Information:

1. Rhombus:

A quadrilateral with all its four sides of equal measures is called as rhombus.

2. Properties of Rhombus:

1. All sides are congruent.

2. Opposite angles are congruent.

3. Diagonals bisect each other.

4. Diagonals are perpendicular bisectors of each other.

3. Formulae related to rhombus:

1. Perimeter of rhombus:

• Perimeter of rhombus = 4 * side

2. Area of rhombus:

• Area of rhombus = ( Product of diagonals ) / 2