wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the rhombus ABCD, AC and BD are the diagonals. If the diagonals are 24 cm and 10 cm. Find the length of each of its sides.

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

The correct option is A 13 cm

We know that, diagonals in a rhombus bisect each other perpendicularly.
Let O is the intersecting point of diagonals AC and BD.
OA=AC2=242=12cm

OB=BD2=102=5cm
Now, in AOB,AOB=90o
(AB)2=(OA)2+(OB)2 [ By Pythagoras theorem ]
(AB)2=(12)2+(5)2
(AB)2=144+25
(AB)2=169
AB=13cm
We know that, all sides of rhombus are equal.
The length of each side of rhombus is 13cm

1246775_299998_ans_3e05d31ad92f4fddbd0031598011df1b.png

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