Question

The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.​

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=2DB=216=8cm

and OC=2AC=230=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.

Answer 2

Answer:

p=68 cm................