Question

The area of a rhombus is 96 sq.cm.If it's one diagonal is 12 cm,find the length of its side.

Answer 1

Area of rhombus = 96 cm sq.

One diagonal = 12 cm

Therefore other diagonal  let be X

1/2 * diagonal 1 * diagonal 2 = area of rhombus

1/2*12*X = 96 cm sq.

6X = 96

X = 96/6

X = 16 cm

Then other diagonal is 16 cm

Now let's find side

To find side first divide rhombus in 4 triangles

Secondly use pythagoras theorem

Let side be x

x sq. = 6 sq  + 8 sq.

x sq. = 36 + 64

x = root 100

x = 10

Therefore side is 10 cm