The lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively. Find the length of each side of the rhombus.

Asked by Topperlearning User | 17th Aug, 2017, 07:30: AM

Expert Answer:

Let ABCD be the rhombus. Diagonal AC = 24 cm and BD = 18 cm.
Diagonals of a rhombus bisect each other at right angles.
AO = OC = 12 cm and OB = OD = 9 cm and AOD = 90o
In right AOD, AO = 12 cm and OD = 9 cm
By Pythagoras theorem, AD2 = AO2 + OD2
 AD2 = (12)2 + (9)2
 AD = 15 cm
All sides of a rhombus are equal.
Hence, each side of the rhombus = 15 cm

Answered by  | 17th Aug, 2017, 09:30: AM