Question

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

Answer 1

given,the measures of diagonals16,30

We know that diagonals of rhombus are perpendicular bisectors of each other.

db=16

DO=DB/2

DO=16/2

DO=8cm

similarly,AO=15cm

by using pythogaras theorem,

DO²+AO²=DA²

8²+15²=DA²

64+225=DA²

289=DA²

DA=17

perimeter=DA×4

             =17×4

PEIMETER=68CM