Question

The area of rhombus is 160 cm^ and one of its diagonal is 20cm. Find other diagonal.​

Answer 1

Answer:

Area of rhombus=1/2 x d1 xd2

Area of rhombus=160cm^2

D1=20cm

d2=1/2 x 20 xd2

10d2=160

d2=160/10

d2=16cm

Answer 2

Given :

⬤ Area of Rhombus is 160 cm² .

⬤ One of its Diagonal is 20 cm.

To Find :

⬤ Length of Other Diagonal of Rhombus .

Formula Used :

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

Solution :

Let :

• Length of Other Diagonal of Rhombus be x .

According to the Formula :-

160 = 1/2 × d₁ × d₂

160 = 1/2 × 20 × x

160 × 2 = 20 × x

320 = 20x

320/20 = x

16 = x

Therefore , The Length of Other Diagonal of Rhombus (x) is 16 cm .

Check :

160 = 1/2 × 20 × 16

160 = 20 × 8

160 = 160

Hence Checked