Question

If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to 

A. 16 cm 

B. 15 cm 

C. 20 cm 

D. 17 cm

Answer 1

Option : (B)

Given, 

ABCD is a rhombus

AC = 24 cm, 

BD = 18 cm 

= AB=BC=CD=DA 

[side of rhombus] 

We know that diagonals of rhombus bisect each other at 90° 

In right ∆ AOB, 

AB² = BO² + AO² 

AB² = 12² + 9² 

= 144 + 81 

= 225

AB = \(\sqrt{225}\) = 15 cm

Side of rhombus = 15 cm