Question

If the area of the rhombus is 60sq.cm and one of the diagonals is 8cm, find the length of the

other diagonal.​

Answer 1

Answer:

Another diagonal = 15 cm

Step-by-step explanation:

Given :

• Area of rhombus = 60 cm

• One of the diagonal = 8 cm

To find area of rhombus :

Area = 1/2 × d1 × d2

So,here

• d1 = 8 cm

• d2 = ?

• Area = 60 cm

Let, d2 be a,

⟶ 1/2 × d1 × d2 = 60

⟶ 1/2 × 8 × a = 60

⟶ 4 × a = 60

⟶ 4a = 60

⟶ a = 60/4

⟶ a = 15

So, the another Diagonal = 15 ( d2 = 15 )

Let's verify ::

= 1/2 × d1 × d2 = 60

= 1/2 × 8 × 15 = 60

= 1/2 × 120 = 60

= 60 = 60

∴ LHS = RHS

Thus Solved !!

Answer 2

Answer:

The length of other diagonal is 15 cm.

Step-by-step-explanation:

We have given that,

Area of rhombus = 60 sq.cm

Length of one diagonal ( d₁ ) = 8 cm

We have to find the length of other diagonal ( d₂ ).

We know that,

Area of rhombus = ( Product of diagonals ) / 2

⇒ 60 = ( d₁ * d₂ ) / 2

⇒ 60 * 2 = d₁ * d₂

⇒ d₂ = 60 * 2 / d₁

⇒ d₂ = 60 * 2 / 8

⇒ d₂ = 60 / 4

⇒ d₂ = 15 cm

∴ The length of other diagonal is 15 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.