Question

The area of rhombus is 54cm^2. One of its diagonal is 18 cm. The other diagonal is??

​

Answer 1

Answer:

We have,

Parameter of a rhombus=52cm.

Its diagonal=10cm.

Let the length of the other diagonal=xcm

Area of rhombus =?

Now,

Parameter=4×side

52=4×side

⇒side=13cm.

Therefore, each side of rhombus =13cm.

Then, the length of other diagonal=2

13

2

−(

2

10

)

2

x=2

169−25

x=2×

144

x=2×12

x=24cm.

We know that,

Area of rhombus=

2

1

× product of diagonals

=

2

1

×10×24

=5×24

=120cm.

2

Hence, this is the answer

Answer 2

Given↷

• Area of rhombus = 54cm²
• One diagonal = 18cm

To find↷

• Other Diagonal

Solution↷

• Let other Diagonal = x cm

$\tt \green{Area \: of \: Rhombus \downarrow }\\ \sf \color{lime}\implies\dfrac{Multipication \: Of \: Diagonals}{2} \\ 54 {cm}^{2} = \frac{18x}{2} cm {}^{2} \\ \frac{108}{18} = x \\ \bold{= 6}$

Hence, The other Diagonal is 6cm.