wiz-icon
MyQuestionIcon
MyQuestionIcon
7
You visited us 7 times! Enjoying our articles? Unlock Full Access!
Question

A rhombus has one diagonal double the other. If the area of rhombus is kcm2. then the length of its side is

A
5k4cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
5k4cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5k4cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
k54
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 5k4cm
Let the length of one diagonal be a,
The length of other diagonal will be 2a

We know,
Area of Rhombus=12d1×d2
=12a×2a=k
=a=k ----(i)

As diagonals intersect each other at right angles,
Let the side of rhombus be p

Now,
p2=d122+d222 -- Pythagoras Theorem.

p2=a24+a2=5a24

p=5a24
p=5k4 by (i)

Hence option C is correct answer.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon