Question

ABCD is a rhombus with one diagonal eual to 18cm and length of each side equal to15cm.find the length of the other diagonals and area of rhombus.

Answer 1

If X is side of rhombus then,
 4x^2 = AC^2 + BD^2 where AC & BD are diagonals.
so,

4 x 15^2 = 18^2 + BD^2
4 x 225 = 324 + BD^2

BD^2 = 900 - 324
BD^2 = 576

BD = 24

AREA OF RHOMBUS = product of diagonals / 2
                                    = (24 x 18)/2
                                    = 432/2
                                    = 216 centimeter square
 

Answer 2

Here Side of the Rhombus is 15 cm,
d2 = 15