Q29 The diagonals of a rhombus measures 16 cm and 30 cm. Find the perimeter.
Answers
Answered by
0
17 is the answer mate thank u
Answered by
1
Answer:
68 cm is the answer.
Step-by-step explanation:
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.
Hope it helps....
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