Question

The diagonals of rhambus measures 16 cm and 30 cm
Find its perimeter.​

Answer 1

Given: Diagonals AC=30cm and DB=16cm.

Since the diagonals of the rhombus bisect at right angle to each other.

Therefore, OD= DB/2 = 16/2 = 8cm

​and OC = AC/2 = 30/2 = 15 cm

Now, In right angle triangle DOC,

( DC )2  = ( OD )2 + ( CO )2

=> ( DC )2 = ( 8 )2 + ( 15 )2

=> ( DC ) 2 = 64 + 225 = 289

=> DC = √289 = 17 cm

Perimeter of the rhombus = 4 * side

                                        = 4 * 17 cm

                                        = 68 cm.

Thus the perimeter of the rhombus is 68 cm.

HOPE YOU FOUND MY ANSWER CORRECT.

HAVE A GOOD DAY !!