Question

Area of a rhombus is 96 sq cm. One of the diagonals is 12 cm find the length of its side.

Answer 1

The area of the side of the rhombus would be 10 cm. You can use the formula to find the area of the rhombus to find the length of the other diagonal and side. I hope this helps!

Answer 2

Answer:

Length of each side = 10 cm

Step-by-step explanation:

As per the question,

Give data are:

Area of a rhombus = 96 cm²

Length of one diagonal = 12 cm

As we know that area of a rhombus is given by,

$Area=\frac{pq}{2}$

Where,

p and q are diagonals of a rhombus.

Therefore,

let's say, Length of one diagonal = 12 cm = p

$Area=\frac{pq}{2}$

$96=\frac{12q}{2}$

∴ q = 16 cm

Now,

As the diagonal bisect the rhombus into four right angle triangle.

∴ one side = 16/2 = 8 cm

other side = 12/2 = 6 cm

Now by using,

Pythagoras theorem,

Hypotenuse = $\sqrt{6^{2}+8^{2}}$ = 10 cm

Hence, length of each side of the given rhombus = 10 cm