Question

The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
[Hint : Diagonals of a rhombus bisect each other at right angles.]


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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 = 8 cm

and OC= AC/ 2 = 30/2 = 15

Now, In right angle triangle DOC,

(DC)2 =(OD) 2 +(CO) 2

= (8) 2+ (15)2

=64+225=289

DC = 17 cm

Perimeter of the rhombus=4× side

=4×17=68cm

Thus, the perimeter of rhombus is 68 cm

Answer 2

Answer:

Refer to the attachment.