-
The lengths of diagonals of a rhombus are 24 cm and 10 cm the perimeter of the rhombus (in cm.) is :
-
- 52
- 56
- 68
- 72
- 52
Correct Option: A
The diagonals of a rhombus bisect each other at right angles.
Let AC = 24 cm.
∴ AO = 12 cm.
BD = 10 cm.
∴ BO = 5 cm.
In ∆AOB,
AB = √OA² + OB²
= √12² + 5²+
= √144 + 25 = √169
= 13 cm.
∴ Perimeter of rhombus = 4 × 13 = 52 cm.
