if the area of rhombus is 216cm . and one of its diagonal is 24 cm, find the perimeter
Answers
Answered by
1
Answer:
Area of rhombus=
2
1
×d1×d2
⇒216=
2
1
×24×d2
⇒216=12×d2
⇒
12
216
=d2
⇒d2=18cm
So, second diagonal =18cm
As shown in fig. AC=18CM,BD=24CM
Since, diagonals of rhombus bisects each other at right angle.
∴AO=9cm,DO=12cm
In △AOD
AO
2
+DO
2
=AD
2
⇒9
2
+12
2
=AD
2
⇒81+144=AD
2
⇒225=AD
2
⇒AD=15cm
∴ side of rhombus (AD)=15cm
Perimeter of rhombus =4×side
=4×15=60cm
Perimeter of rhombus =60cm
Answered by
0
Answer:
I am not sure
Step-by-step explanation:
kid Rock hill and I
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