Question

If the length of of one diagonal is of a rhombus of area is 96cm is 12cm,then what is the length of the other diagonal?

Answer 1

Given:

Area of rhombus = 96 cm

One diagonal = 12 cm

To find:

The other diagonal.

Solution:

We know that,

`\text{Area of a rhombus}=(1)/(2)* d_1* d_2`

where,
`d_1\text{ and }d_2` are two diagonals of the rhombus.

Putting the given values, we get

`96=(1)/(2)* 12* d_2`

`96=6* d_2`

Divide both sides by 6.

`(96)/(6)=d_2`

`16=d_2`

Therefore, the length of the other diagonal is 16 cm.