Question

1) If the area of a rhombus is 24 sq.om and one of the diagonals is 8cm, the
length of its other diagonal is​

Answer 1

Answer:

12

Step-by-step explanation:

8 and 12 are divisible by 24

Answer 2

Answer:

Other diagonal of the Rhombus = 6 cm

Step-by-step explanation:

Given :

Area of the Rhombus = 24 cm²

One diagonal of the Rhombus = 8 cm

To find :

The other diagonal of the Rhombus

Taken :

Let the other diagonal be x

$\boxed{\tt{A=\dfrac{1}{2}\times O\times x}}$

Where,

A = Area of the Rhombus

O = One diagonal

Solution :

$\leadsto\tt{{24cm}^{2}=\dfrac{1}{2}\times8cm\times x}$

Cross multiply the numbers

$\leadsto\tt{{24cm}^{2}\times2=8cm\times x}$

$\leadsto\tt{48=8cm\times x}$

$\leadsto\tt{\cancel{\dfrac{48}{8cm}}=x}$

$\leadsto\tt{6cm=x}$

So , the other diagonal of the Rhombus is 6 cm .