The diagonals of a rhombus are of length 20 cm and 48 cm. What is
| The diagonals of a rhombus are of length 20 cm and 48 cm. What is the length of a side of the rhombus?
A. 13 cm
B. 26 cm
C. 36 cm
D. 39 cm
Please scroll down to see the correct answer and solution guide.
Right Answer is: B
SOLUTION
Let AC = 48 cm and BD = 20 cm
In a rhombus, diagonals bisect each other at right angles
∴ AO = 48/2 = 24 cm and BO = 20/2 = 10 cm
In triangle AOB
AB2 = AO2 + BO2 [∵ Pythagoras theorem]
⇒ 242 + 102
⇒ 676
∴ AB = 26 cm
∴ Side of the rhombus is 26 cm
