Question

Solve the sums.
The area of rhombus is 120 cm² and one of the diagonals is 8 cm. Find the other
diagonal.​

Answer 1

Step-by-step explanation:

area of diagonal 1/2 d1×d2

hence 120 = 1/2 ×8 ×d2

120×2/8= d2

ans: 30

Answer 2

Given :

⬤ Area of Rhombus is 120 cm².

⬤ Length of One Diagonal is 8 cm .

To Find :

⬤ Length of Other Diagonal .

Formula Used :

$\bf[\:{Area \: of \: Rhombus = \dfrac{1}{2} \times{{Diagonal}_{1}} \times{{Diagonal}_{2}}\:]}$

Solution :

Let :

• Length of Other Diagonal be x.

According to the Question :-

120 = 1/2 × d₁ × d₂

120 = 1/2 × 8 × x

(120 × 2) = 8 × x

240 = 8x

240/8 = x

30 = x

Therefore , Length of Other Diagonal (x) is 30 .

Check :

• Diagonal₁ = 8 cm.
• Diagonal₂ = 30 cm.

120 = ½ × d₁ × d₂

120 = ½ × 8 × 30

120 = 4 × 30

120 = 120

Hence Checked