The diagonals of a rhombus measure 16cm and 30cm. Find its perimeter
Answers
Answered by
1
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.
solution
Answer By
avatar
Toppr
SHARE
How satisfied are you with the answer?
This will help us to improve better
ASK
Get Instant Solutions, 24x7
No Signup required
girl
More Questions by difficulty
EASY
MEDIUM
HARD
Prev
Similar questions