Question

The diagnols of a rhombus measure 16cm and ​

Answer 1

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

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

Therefore, OD=  

2

DB

​  

=  

2

16

​  

=8cm

and OC=  

2

AC

​  

=  

2

30

​  

=15cm

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

​  

=17cm

Perimeter of the rhombus=4× side

=4×17=68cm

Thus, the perimeter of rhombus is 68 cm.

Explanation: