Find the area and side length of a rhombus having diagonals of length 16 mm and 30 mm.
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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.
Step-by-step explanation:
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