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The diagonals of a rhombus measure …

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

Posted by Amrit Pandey 5 years, 2 months ago

CBSE > Class 07 > Mathematics

1 answers

Yogita Ingle 5 years, 2 months ago

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 =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.

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