Question

The area of a rhombus is 40 cm one of its diagonals measure 8 cm what is its length​

Answer 1

Step-by-step explanation:

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Answer 2

• Given

• Area of rhombus = 40 cm²
• Length of one of its diagonal = 8 cm

• To find

• Length of the other diagonal

• Solution

Using this formula,

Area of diagonal = 1/2 × D₁ × D₂

where,

• D₁ = First diagonal
• D₂ = Other diagonal

Substituting their values,

⟶ 40 = 1/2 × 8 × D₂

⟶ 40 = 8/2 × D₂

⟶ 40 = 4 × D₂

⟶ 40/4 = D₂

⟶ 10 = D₂

• The other diagonal of rhombus = 10 cm

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Let's verify -

As we know,

• Area of rhombus = 1/2 × D₁ × D₂

We have the value of,

• Area of rhombus = 40 cm²
• D₁ = 8 cm
• D₂ = 10 cm

Substituting the given values,

⟶ 1/2 × 8 × 10

⟶ 80/2

⟶ 40 cm²

Area of rhombus = 40 cm²

Hence, verified.